Center for Numerical Analysis: Archives CNA Reports 1998--1970
		ITPACK NSPCG Numerical Mathematics and Computing, 6th Edition Numerical Analysis: Mathematics of Scientific Computing, 3rd Edition Linear Algebra: Theory and Applications UT Austin ICES UT Math UT CS

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CNA-288
Robert Strandh and Anne C. Elster. Fast Recursive Bit Reversal: shuffling N elements in less than 5N cycles with no special hardware. Report CNA-288, Center for Numerical Analysis, University of Texas at Austin, October 1998.

CNA-287
David R. Kincaid and Anne C. Elster. Symposium on Iterative Methods in Scientific Computation . Report CNA-287, Center for Numerical Analysis, University of Texas at Austin, October 1998.

CNA-286
Jen-Yuan Chen, David R. Kincaid, David M. Young. Generalizations and Modifications of the GMRES Iterative Methods. Report CNA-286, Center for Numerical Analysis, University of Texas at Austin, July 1997.

CNA-285
Jen-Yuan Chen. Iterative solutions of large sparse nonsymmetric linear systems. Report CNA-285, Center for Numerical Analysis, University of Texas at Austin, January 1997.

CNA-284
W. D. Joubert. PCG examples manual. A package for the iterative solution of large sparse linear systems on parallel computers. Report CNA-284, Center for Numerical Analysis, University of Texas at Austin, July 1996.

CNA-283
Asha Nallana and David R. Kincaid. A Cray T3D performance study. Report CNA-283, Center for Numerical Analysis, University of Texas at Austin, May 1996.

CNA-282
David M. Young and David R. Kincaid. A new class of parallel alternating-type iterative methods. Report CNA-282, Center for Numerical Analysis, University of Texas at Austin, May 1996.

CNA-281
Asha Nallana. Cray T3D performance study. Report CNA-281, Center for Numerical Analysis, University of Texas at Austin, December 1995.

CNA-280
A. A. Lober and C. A. Hollabaugh. XPCGib user's manual. Report CNA-280, Center for Numerical Analysis, University of Texas at Austin, August 1995.

CNA-279
Wan Chen. Parallel implementation of an alternating-type ADI method. Report CNA-279, Center for Numerical Analysis, University of Texas at Austin, August 1995.

CNA-278
W. D. Joubert, Y. Shen, and S. Swift. Getting started with PCG. Report CNA-278, Center for Numerical Analysis, University of Texas at Austin, November 1994.

CNA-277
David M. Young and David R. Kincaid. On the parallel implementation of alternating-type iterative methods. Report CNA-277, Center for Numerical Analysis, University of Texas at Austin, June 1995.

CNA-276
David R. Kincaid and David M. Young. A note on parallel alternating-type iterative methods. Report CNA-276, Center for Numerical Analysis, University of Texas at Austin, May 1995.

CNA-275
G. F. Carey, W. D. Joubert, H. Kohli, A. A. Lorber, R. T. McLay, and Y. Shen. Parallel PCG package: Programmer's manual. Report CNA-275, Center for Numerical Analysis, University of Texas at Austin, April 1995.

CNA-274
W. D. Joubert, G. F. Carey, N. A. Benner, A. Kalhan, H. Kohli, A. Lorber, R. T. McLay, and Y. Shen. PCG reference manual. Report CNA-274, Center for Numerical Analysis, University of Texas at Austin, January 1995.

CNA-273
David M. Young, Shengyou Xiao, and Karen Baker. Periodically generated iterative methods for solving elliptic equations. Report CNA-273, Center for Numerical Analysis, University of Texas at Austin, December 1994.

CNA-272
David M. Young and David R. Kincaid. Parallel implementation of a class of nonstationary alternating-type methods. Report CNA-272, Center for Numerical Analysis, University of Texas at Austin, November 1994.

CNA-271
A. I. Pehlivanov, G. F. Carey, and P. S. Vassilevski. Least-squares mixed finite element methods for non-self-adjoint elliptic problems: I. Error estimates. Report CNA-271, Center for Numerical Analysis, University of Texas at Austin, July 1994.

CNA-270
Debao Chen. Characterization of biorthogonal cardinal spline wavelet bases. Report CNA-270, Center for Numerical Analysis, University of Texas at Austin, July 1994.

CNA-269
Reza Abbasian. Convergence accelerator by h-n extrapolation with applications to transport processes. Report CNA-269, Center for Numerical Analysis, University of Texas at Austin, May 1994.

CNA-268
A. I. Pehlivanov, G. F. Carey, and R. D. Lazarov. Least-squares mixed finite element methods for second order elliptic problems. Report CNA-268, Center for Numerical Analysis, University of Texas at Austin, May 1994.

CNA-267
G. F. Carey, A. I. Pehlivanov, and P. S. Vassilevski. Least-squares mixed finite element methods for non-self-adjoint elliptic problems: II. Performance of block ILU factorization methods. Report CNA-267, Center for Numerical Analysis, University of Texas at Austin, May 1994.

CNA-266
Rafael de la Llave and Stathis Tompaidis. On the singularity structure of invariant curves of symplectic mapping. Report CNA-266, Center for Numerical Analysis, University of Texas at Austin, May 1994.

CNA-265
Shengyou Xiao. Multigrid methods with application to reservoir simulation. Report CNA-265, Center for Numerical Analysis, University of Texas at Austin, May 1994.

CNA-264
Rafael de la Llave. Nature of singularities for analyticity domains of invariant curves. Report CNA-264, Center for Numerical Analysis, University of Texas at Austin, November 1993.

CNA-263
Rafael de la Llave. Introduction to the theory of computational dynamics. Report CNA-263, Center for Numerical Analysis, University of Texas at Austin, December 1992.

CNA-262
Rafael de la Llave and Stathis Tompaidis. Computation of domains of analyticity for some perturbative expansions of mechanics. Report CNA-262, Center for Numerical Analysis, University of Texas at Austin, December 1992.

CNA-261
Bi Roubolo Vona. Parallel multilevel iterative methods. Report CNA-261, Center for Numerical Analysis, University of Texas at Austin, November 1992.

CNA-260
Corrado Falcolini and Rafael de la Llave. Numerical calculation of analyticity for perturbation theories in the presence of small divisors. Report CNA-260, Center for Numerical Analysis, University of Texas at Austin, October 1992.

CNA-259
Kaibin Huang and Shijan Yan. A class of A-biorthogonalization oblique projection methods for large nonsymmetric systems. Report CNA-259, Center for Numerical Analysis, University of Texas at Austin , October 1992.

CNA-258
Kaibin Huang and Shijan Yan. Convergence theories of oblique projection methods for consistent and inconsistent linear systems. Report CNA-258, Center for Numerical Analysis, University of Texas at Austin, October 1992.

CNA-257
Kang C. Jea and David M. Young. On the method of minimized iterations for solving sparse linear systems. Report CNA-257, Center for Numerical Analysis, University of Texas at Austin, August 1992.

CNA-256
E. B. Saff and Bi R. Vona. Weighted minimax approximations for optimal external smoothing. Report CNA-256, Center for Numerical Analysis, University of Texas at Austin, July 1992.

CNA-255
David R. Kincaid and Matthew D. Fassiotto. ITPACK software and parallelization. Report CNA-255, Center for Numerical Analysis, University of Texas at Austin, June 1992.

CNA-254
E. Barragy, G. F. Carey, and R. van de Geijn. Performance and scalability of finite element Analysis, for distributed parallel computation. Report CNA-254, Center for Numerical Analysis, University of Texas at Austin, May 1992.

CNA-253
Wayne Joubert and Thomas Oppe. Improved SSOR and incomplete Cholesky solution of linear equations on shared memory and distributed memory parallel computers. Report CNA-253, Center for Numerical Analysis, University of Texas at Austin, November 1991.

CNA-252
Kang C. Jea and David M. Young. Commentaries on three papers of Cornelius Lanczos. Report CNA-252, Center for Numerical Analysis, University of Texas at Austin, October 1991.

CNA-251
Wayne D. Joubert and Graham F. Carey. Parallelizable restarted iterative methods for nonsymmetric linear systems. Report CNA-251, Center for Numerical Analysis, University of Texas at Austin, May 1991.

CNA-250
David Kincaid. Stationary second-degree iterative methods and recurrences. Report CNA-250, Center for Numerical Analysis, University of Texas at Austin, February 1991.

CNA-249
Malathi Ramdas and David R. Kincaid. Parallelizing ITPACKV 2D for the Cray Y-MP. Report CNA-249, Center for Numerical Analysis, University of Texas at Austin, February 1991.

CNA-248
W. A. Light and E. W. Cheney. Interpolation by periodic basis function. Report CNA-248, Center for Numerical Analysis, University of Texas at Austin, September 1990.

CNA-247
Xingping Sun. Interpolation by ridge and related functions. Report CNA-247, Center for Numerical Analysis, University of Texas at Austin, August 1990.

CNA-246
Xingping Sun. Norm estimates for inverses of Euclidean distance matrices. Report CNA-246, Center for Numerical Analysis, University of Texas at Austin, August 1990.

CNA-245
Xingping Sun and E. W. Cheney. The fundamentality of sets of ridge functions. Report CNA-245, Center for Numerical Analysis, University of Texas at Austin, August 1990.

CNA-244
David R. Kincaid and David M. Young. Linear stationary second-degree methods for solution of large linear systems. Report CNA-244, Center for Numerical Analysis, University of Texas at Austin, July 1990.

CNA-243
David M. Young and Bi Roubolo Vona. Parallel multilevel methods. Report CNA-243, Center for Numerical Analysis, University of Texas at Austin, May 1990.

CNA-242
Wayne Joubert. Iterative method for the solution of nonsymmetric systems of linear equations. Report CNA-242, Center for Numerical Analysis, University of Texas at Austin, May 1990.

CNA-241
Thomas C. Oppe. The iterative solution of large linear systems using vector computers. Report CNA-241, Center for Numerical Analysis, University of Texas at Austin, February 1990.

CNA-240
Thomas C. Oppe and David R. Kincaid. Are there iterative BLAS? Report CNA-240, Center for Numerical Analysis, University of Texas at Austin, February 1990.

CNA-239
Jeremy Levesley, Yuan Xu, Will Light, and Ward Cheney. Convolution operators for radial basis approximation. Report CNA-239, Center for Numerical Analysis, University of Texas at Austin, July 1993.

CNA-238
Wayne Joubert. Generalized conjugate gradient and lanczos methods for the solution of linear systems. Report CNA-238, Center for Numerical Analysis, University of Texas at Austin, May 1990.

CNA-237
E. Barragy and G. F. Carey. Parallel-vector computation with high degree element by element methods. Report CNA-237, Center for Numerical Analysis, University of Texas at Austin, November 1989.

CNA-236
E. Barragy and G. F. Carey. Preconditioners for high degree elements. Report CNA-236, Center for Numerical Analysis, University of Texas at Austin, November 1989.

CNA-235
G. F. Carey and E. Barragy. Basis function selection and preconditioning high degree finite element spectral methods. Report CNA-235, Center for Numerical Analysis, University of Texas at Austin, November 1989.

CNA-234
W. A. Light and E. W. Cheney. The Fix-Strang theory for functions having non compact support. Report CNA-234, Center for Numerical Analysis, University of Texas at Austin, October 1989.

CNA-233
David R. Kincaid and Thomas C. Oppe. Recent vectorization and parallelization of ITPACKV. Report CNA-233, Center for Numerical Analysis, University of Texas at Austin, November 1989.

CNA-232
David R. Kincaid, Thomas C. Oppe, and David M. Young. ITPACKV 2D user's guide. Report CNA-232, Center for Numerical Analysis, University of Texas at Austin, May 1989.

CNA-231
Owe Axelsson. On iterative solution of elliptic difference equations on a mesh-connective array of processors. Report CNA-231, Center for Numerical Analysis, University of Texas at Austin, March 1989.

CNA-230
Thomas C. Oppe. The vectorization of ITPACK 2C. Report CNA-230, Center for Numerical Analysis, University of Texas at Austin, May 1989.

CNA-229
David R. Kincaid. Conference on iterative methods for large linear systems. Report CNA-229, Center for Numerical Analysis, University of Texas at Austin, December 1988.

CNA-228
David R. Kincaid, Thomas C. Oppe, and Wayne D. Joubert. An overview of NSPCG: A nonsymmetric preconditioned conjugate gradient package. Report CNA-228, Center for Numerical Analysis, University of Texas at Austin, October 1988.

CNA-227
R. M. MacKinnon and G. F. Carey. Superconvergent derivatives: A Taylor series Analysis,. Report CNA-227, Center for Numerical Analysis, University of Texas at Austin, September 1988.

CNA-226
Dira Dyn, W. A. Light, and E. W. Cheney. Interpolation by piecewise-linear radial basis functions, I. Report CNA-226, Center for Numerical Analysis, University of Texas at Austin, August 1988.

CNA-225
David M. Young. A historical review of iterative methods. Report CNA-225, Center for Numerical Analysis, University of Texas at Austin, August 1988.

CNA-224
Tsun-Zee Mai and David M. Young. A dual adaptive procedure for the automatic determination of iteration parameters for Chebyshev acceleration. Report CNA-224, Center for Numerical Analysis, University of Texas at Austin, August 1988.

CNA-223
David M. Young and Tsun-Zee Mai. The search for omega. Report CNA-223, Center for Numerical Analysis, University of Texas at Austin, August 1988.

CNA-222
David R. Kincaid, Graham F. Carey, Kamy Sepehrnoori, and David M. Young. Vector and parallel iterative solution of large sparse systems for PDEs. Report CNA-222, Center for Numerical Analysis, University of Texas at Austin, August 1988.

CNA-221
David M. Young. The search for `high level' parallelism for the solution of large sparse linear systems. Report CNA-221, Center for Numerical Analysis, University of Texas at Austin, July 1988.

CNA-220
David R. Kincaid and Thomas C. Oppe. Some parallel algorithms on the four processor Cray X-MP4 supercomputer. Report CNA-220, Center for Numerical Analysis, University of Texas at Austin, May 1988.

CNA-219
Kai Bing Hwang. On the improvements of the modified generalized conjugate residual method (MGCR-method) for solving large sparse nonsymmetric systems of linear equations. Report CNA-219, Center for Numerical Analysis, University of Texas at Austin, May 1988.

CNA-218
Kang C. Jea and David M. Young. On the effectiveness of adaptive Chebyshev acceleration for solving systems of linear equations. Report CNA-218, Center for Numerical Analysis, University of Texas at Austin, March 1988.

CNA-217
David M. Young and David R. Kincaid. A brief review of the ITPACK project. Report CNA-217, Center for Numerical Analysis, University of Texas at Austin, March 1988.

CNA-216
Thomas C. Oppe, Wayne D. Joubert, and David R. Kincaid. NSPCG user's guide, version 1.0: A package for solving large sparse linear systems by various iterative methods. Report CNA-216, Center for Numerical Analysis, University of Texas at Austin, April 1988.

CNA-215
David M. Young and Tsun-Zee Mai. Iterative algorithms and software for solving large sparse linear systems. Report CNA-215, Center for Numerical Analysis, University of Texas at Austin, August 1987.

CNA-214
E. Barragy and Graham F. Carey. A parallel element-by-element solution scheme. Report CNA-214, Center for Numerical Analysis, University of Texas at Austin, June 1987.

CNA-213
Thomas C. Oppe and David R. Kincaid. Parallel LU-factorization algorithms for dense matrices. Report CNA-213, Center for Numerical Analysis, University of Texas at Austin, May 1987.

CNA-212
Kai Bing Hwang. A modified generalized conjugate residual method (MGCR method) for solving large sparse non-symmetric systems of linear equations. Report CNA-212, Center for Numerical Analysis, University of Texas at Austin, May 1987.

CNA-211
G. F. Carey, E. Barragy, R. McLay, and M. Sharma. Element-by-element vector and parallel computations. Report CNA-211, Center for Numerical Analysis, University of Texas at Austin, May 1987.

CNA-210
E. Barragy and G. F. Carey. A partitioning scheme and iterative solution for sparse bordered systems. Report CNA-210, Center for Numerical Analysis, University of Texas at Austin, May 1987.

CNA-209
David R. Kincaid and Thomas C. Oppe. A parallel algorithm for the general LU-factorization. Report CNA-209, Center for Numerical Analysis, University of Texas at Austin, April 1987.

CNA-208
Thomas C. Oppe and David R. Kincaid. Numerical experiments with a parallel conjugate gradient method. Report CNA-208, Center for Numerical Analysis, University of Texas at Austin, April 1987.

CNA-207
David M. Young, Kang C. Jea, and Tsun-Zee Mai. Preconditioned conjugate gradient algorithms and software for solving large sparse linear systems. Report CNA-207, Center for Numerical Analysis, University of Texas at Austin, March 1987.

CNA-206
David M. Young. A historical review of iterative methods. Report CNA-206, Center for Numerical Analysis, University of Texas at Austin, February 1987.

CNA-205
Kai Bing Hwang. Rounding error Analysis, of the optimal Chebyshev acceleration procedure. Report CNA-205, Center for Numerical Analysis, University of Texas at Austin, January 1987.

CNA-204
Wayne D. Joubert and David M. Young. Necessary and sufficient conditions for the simplification of generalized conjugate gradient algorithms. Report CNA-204, Center for Numerical Analysis, University of Texas at Austin, January 1986.

CNA-203
Tsun-Zee Mai. Adaptive iterative algorithms for large sparse linear systems. Report CNA-203, Center for Numerical Analysis, University of Texas at Austin, August 1986.

CNA-202
V. J. Eijkhout. Scalar recurrences on chainable pipeline architectures. Report CNA-202, Center for Numerical Analysis, University of Texas at Austin, December 1985.

CNA-201
Tsun-Zee Mai and David M. Young. ITPACK 3B user's guide (preliminary version). Report CNA-201, Center for Numerical Analysis, University of Texas at Austin, January 1986.

CNA-200
Thomas C. Oppe and David R. Kincaid. The performance of ITPACK on vector computers. Report CNA-200 (Revised), Center for Numerical Analysis, University of Texas at Austin, April 1986.

CNA-199
David M. Young, Thomas C. Oppe, David R. Kincaid, and Linda J. Hayes. On the use of vector computers for solving large sparse linear systems. Report CNA-199, Center for Numerical Analysis, University of Texas at Austin, May 1985.

CNA-198
Graham F. Carey. Inherent and induces parallelism in finite element computations. Report CNA-198, Center for Numerical Analysis, University of Texas at Austin, February 1985.

CNA-197
David M. Young and Tsun-Zee Mai. ITPACK3A user's guide (preliminary version). Report CNA-197, Center for Numerical Analysis, University of Texas at Austin, October 1984.

CNA-196
David M. Young and David R. Kincaid. On the use of iterative methods with supercomputers for solving partial differential equations. Report CNA-196, University of Texas at Austin, University of Texas at Austin, August 1984.

CNA-195
Owe Axelsson. Incomplete block matrix factorization preconditioning methods. The ultimate answer? Report CNA-195, Center for Numerical Analysis, University of Texas at Austin, July 1984.

CNA-194
Owe Axelsson. On the B-convergence of the O-method over infinite time for time stepping for evolution equations. Report CNA-194, Center for Numerical Analysis, University of Texas at Austin, June 1984.

CNA-193
Reza Oraiee Abbasian. Lanczos algorithms for the acceleration of nonsymmetrizable iterative methods. Report CNA-193 (Master's Thesis), Center for Numerical Analysis, University of Texas at Austin, May 1984.

CNA-192
David R. Kincaid, Graham F. Carey, Thomas C. Oppe, Kamy Sepehrnoori, and David M. Young. Combining finite element and iterative methods for solving partial differential equations on advanced computer architectures. Report CNA-192, Center for Numerical Analysis, University of Texas at Austin, April 1984.

CNA-191
David R. Kincaid, Thomas C. Oppe, John R. Respess, and David M. Young. ITPACKV 2C user's guide. Report CNA-191, Center for Numerical Analysis, University of Texas at Austin, February 1984.

CNA-190
Owe Axelsson. A survey of vectorizable preconditioning method for large scale finite element matrix problems. Report CNA-190, Center for Numerical Analysis, University of Texas at Austin, February 1984.

CNA-189
David R. Kincaid, Thomas C. Oppe, and David M. Young. Vector computations for sparse linear systems. Report CNA-189, Center for Numerical Analysis, University of Texas at Austin, February 1984.

CNA-188
E. W. Cheney. Four lectures on multivariate approximation. Report CNA-188, Center for Numerical Analysis, University of Texas at Austin, November 1983.

CNA-187
Ru Huang. On the determination of iteration parameters for complex SOR and Chebyshev methods. Report CNA-187, Center for Numerical Analysis, University of Texas at Austin, September 1983.

CNA-186
David M. Young and Ru Huang. Some notes on complex Chebyshev acceleration. Report CNA-186, Center for Numerical Analysis, University of Texas at Austin, July 1983.

CNA-185
David M. Young and Ru Huang. Some notes on complex successive overrelaxation. Report CNA-185, Center for Numerical Analysis, University of Texas at Austin, July 1983.

CNA-184
C. Franchetti and E. W. Cheney. Minimal projections in tensor-product spaces. Report CNA-184, Center for Numerical Analysis, University of Texas at Austin, July 1983.

CNA-183
Carol Franchetti and E. W. Cheney. The embedding of proximal sets. Report CNA-183, Center for Numerical Analysis, University of Texas at Austin, June 1983.

CNA-182
David M. Young and David R. Kincaid. The ITPACK software package. Report CNA-182, Center for Numerical Analysis, University of Texas at Austin, June 1983.

CNA-181
David M. Young, K. C. Jea, and David R. Kincaid. Accelerating nonsymmetrizable iterative methods. Report CNA-181, Center for Numerical Analysis, University of Texas at Austin, March 1983.

CNA-180
David R. Kincaid and David M. Young. The ITPACK project: Past, present, and future. Report CNA-180, Center for Numerical Analysis, University of Texas at Austin, March 1983.

CNA-179
M. von Golitschek and E. W. Cheney. The best approximation of bivariate functions by separable functions. Report CNA-179, Center for Numerical Analysis, University of Texas at Austin, December 1982.

CNA-178
David R. Kincaid and Thomas C. Oppe. ITPACK on supercomputers. Report CNA-178, Center for Numerical Analysis, University of Texas at Austin, September 1982.

CNA-177
David R. Kincaid, Tom Oppe, and David M. Young. Adapting ITPACK routines for use on a vector computer. Report CNA-177, Center for Numerical Analysis, University of Texas at Austin, August 1982.

CNA-176
Kang Chang Jea. Generalized conjugate gradient acceleration of iterative methods. Report CNA-176, Center for Numerical Analysis, University of Texas at Austin, February 1982.

CNA-175
W. A. Light and E. W. Cheney. The characterization of best-approximation in tensor-product spaces. Report CNA-175, Center for Numerical Analysis, University of Texas at Austin, September 1981.

CNA-174
J. R. Respess and E. W. Cheney. On Lipschitzian proximity maps. Report CNA-174, Center for Numerical Analysis, University of Texas at Austin, July 1981.

CNA-173
David R. Kincaid, Roger G. Grimes, John R. Respess, and David M. Young. ITPACK 2B: A Fortran package for solving large sparse linear systems by adaptive accelerated iterative methods. Report CNA-173, Center for Numerical Analysis, University of Texas at Austin, September 1981. (Also, Report CCSN-44, Computation Center, University of Texas at Austin.).

CNA-172
M. von Golitschek and E. W. Cheney. Failure of the alternating direction algorithm for best approximation of multi-variate functions. Report CNA-172, Center for Numerical Analysis, University of Texas at Austin, May 1981.

CNA-171
David Kincaid. Acceleration parameters for a symmetric successive over-relaxation conjugate gradient method for nonsymmetric systems. Report CNA-171, Center for Numerical Analysis, University of Texas at Austin, April 1981.

CNA-170
A. K. Cline. Surface smoothing with splines under tension. Report CNA-170, Center for Numerical Analysis, University of Texas at Austin, January 1981.

CNA-169
A. K. Cline. Reproducing positivity, monotonicity, and convexity in curves with splines under tension. Report CNA-169, Center for Numerical Analysis, University of Texas at Austin, January 1981.

CNA-168
A. K. Cline. Smoothing by splines under tension. Report CNA-168, Center for Numerical Analysis, University of Texas at Austin, January 1981.

CNA-167
J. R. Respess, Jr., and E. W. Cheney. Best approximation problems in tensor-product spaces. Report CNA-167, Center for Numerical Analysis, University of Texas at Austin, January 1981.

CNA-166
R. E. Bank and A. H. Sherman. A refinement algorithm and dynamic date structure for finite element meshes. Report CNA-166, Center for Numerical Analysis, University of Texas at Austin, October 1980.

CNA-165
W. A. Light and E. W. Cheney. Some proximinality theorem in tensor product spaces. Report CNA-165, Center for Numerical Analysis, University of Texas at Austin, October 1980.

CNA-164
David R. Kincaid, Roger G. Grimes, and David M. Young. ITPACK 2A: A Fortran implementation of adaptive accelerated iterative methods for solving large sparse linear systems. Report CNA-164, Center for Numerical Analysis, University of Texas at Austin, October 1980.

CNA-163
D. M. Young and K. C. Jea. Generalized L-conjugate gradient acceleration of iterative methods: Part II: the nonsymmetrizable case. Report CNA-163, Center for Numerical Analysis, University of Texas at Austin, August 1980 (revised September 1981).

CNA-162
D. M. Young, L. J. Hayes, and K. C. Jea. Generalized conjugate gradient acceleration of iterative methods: Part I: The symmetrizable case. Report CNA-162, Center for Numerical Analysis, University of Texas at Austin, August 1980 (Revised Sept. 1981).

CNA-161
D. R. Kincaid and D. M. Young. Adapting iterative algorithms developed for symmetric systems to nonsymmetric systems. Report CNA-161, Center for Numerical Analysis, University of Texas at Austin, August 1980.

CNA-160
D. M. Young and D. R. Kincaid. The ITPACK package for large sparse linear systems. Report CNA-160, Center for Numerical Analysis, University of Texas at Austin, August 1980.

CNA-159
R. E. Bank and Todd F. Dupont. Analysis, of a two-level scheme for solving finite element equations. Report CNA-159, Center for Numerical Analysis, University of Texas at Austin, May 1980.

CNA-158
R. E. Bank. An optimal order process for solving finite element equations. Report CNA-158, Center for Numerical Analysis, University of Texas at Austin, May 1980.

CNA-157
C. Franchetti and E. W. Cheney. Simultaneous approximation and restricted Chebyshev centers in function spaces. Report CNA-157, Center for Numerical Analysis, University of Texas at Austin, May 1980.

CNA-156
Andrew B. White, Jr. On the numerical solution of initial/boundary- value problems in one space dimension. Report CNA-156, Center for Numerical Analysis, University of Texas at Austin, April 1980.

CNA-155
E. W. Cheney and C. Franchetti. Best approximation problems for multivariate functions. Report CNA-155, Center for Numerical Analysis, University of Texas at Austin, January 1980.

CNA-154
R. E. Bank. A comparison of two multi-level iterative methods for non-symmetric and indefinite elliptic finite element equations. Report CNA-154, Center for Numerical Analysis, University of Texas at Austin, January 1980.

CNA-153
W. A. Light and E. W. Cheney. Multivariate approximation with tensor- product spaces. Report CNA-153, Center for Numerical Analysis, University of Texas at Austin, November 1979.

CNA-152
R. E. Bank and A. H. Sherman. PLTMG users' guide. Report CNA-152, Center for Numerical Analysis, University of Texas at Austin, September 1979.

CNA-151
E. W. Cheney. Best approximation in tensor product spaces. Report CNA-151, Center for Numerical Analysis, University of Texas at Austin, August 1979.

CNA-150
Roger G. Grimes, David R. Kincaid, and David M. Young. ITPACK 2.0 user's guide. Report CNA-150, Center for Numerical Analysis, University of Texas at Austin, August 1979.

CNA-149
David M. Young and Kang C. Jea. Some generalizations of conjugate gradient acceleration for nonsymmetrizable iterative methods. Report CNA-149, Center for Numerical Analysis, University of Texas at Austin, May 1979 (revised 9/79).

CNA-148
E. W. Cheney. Approximating multivariate functions by combinations of univariate ones. Report CNA-148, Center for Numerical Analysis, University of Texas at Austin, April 1979.

CNA-147
W. A. Light, J. H. McCabe, G. M. Phillips, and E. W. Cheney. The approximation of bivariate functions by sums of univariate ones using the L-metric. Report CNA-147, Center for Numerical Analysis, University of Texas at Austin, March 1979.

CNA-146
A. P. Thierer. A comparison of ordering schemes for profile minimization of sparse symmetric matrices. Report CNA-146, Center for Numerical Analysis, University of Texas at Austin, December 1978.

CNA-145
R. E. Bank and A. H. Sherman. Multi-level iterative method for solving finite element equations. Report CNA-145, Center for Numerical Analysis, University of Texas at Austin, December 1978.

CNA-144
R. E. Bank and A. H. Sherman. Algorithmic aspects of the multi-level solution of finite element equations. Report CNA-144, Center for Numerical Analysis, University of Texas at Austin, October 1978.

CNA-143
Owe Axelsson. On preconditioned conjugate gradient methods. Report CNA-143, Center for Numerical Analysis, University of Texas at Austin, September 1978.

CNA-142
Randolph E. Bank. An automatic scaling procedure for a D'Yakanov-Gunn iteration scheme. Report CNA-142, Center for Numerical Analysis, University of Texas at Austin, August 1978.

CNA-141
M. von Golitschek and E. W. Cheney. On the algorithm of Diliberto and Straus for approximating bivariate functions by univariate ones. Report CNA-141, Center for Numerical Analysis, University of Texas at Austin, August 1978.

CNA-140
W. A. Light and E. W. Cheney. On the approximation of a bivariate function by the sum of univariate functions. Report CNA-140, Center for Numerical Analysis, University of Texas at Austin, August 1978.

CNA-139
Roger G. Grimes, David R. Kincaid, William I. MacGregor, and David M. Young. ITPACK report: Adaptive iterative algorithms using symmetric sparse storage. Report CNA-139, Center for Numerical Analysis, University of Texas at Austin, August 1978.

CNA-138
Alan Talbot. The accurate numerical inversion of Laplace transforms. Report CNA-138, Center for Numerical Analysis, University of Texas at Austin, May 1978.

CNA-137
Owe Axelsson. On optimization methods in the numerical solution of boundary value problems. Report CNA-137, Center for Numerical Analysis, University of Texas at Austin, May 1978.

CNA-136
Linda J. Hayes. Timing Analysis, of standard iterative methods on a pipeline computer. Report CNA-136, Center for Numerical Analysis, University of Texas at Austin, April 1978.

CNA-135
David R. Kincaid and David M. Young. Survey of iterative methods. Report CNA-135, Center for Numerical Analysis, University of Texas at Austin, April 1978.

CNA-134
Linda J. Hayes. Galerkin alternating-direction methods for non-rectangular regions using patch approximations. Report CNA-134, Center for Numerical Analysis, University of Texas at Austin, April 1978.

CNA-133
A. K. Cline. Several observations on the use of conjugate gradient methods. Report CNA-133, Center for Numerical Analysis, University of Texas at Austin, March 1978.

CNA-132
Andrew B. White, Jr. Multiple solutions for rotationally symmetric, incompressible, viscous flow. Report CNA-132, Center for Numerical Analysis, University of Texas at Austin, February 1978.

CNA-131
G. M. Phillips, J. H. McCabe, and E. W. Cheney. On simultaneous Chebyshev approximation. Report CNA-131, Center for Numerical Analysis, University of Texas at Austin, February 1978.

CNA-130
James W. Daniel. A road map of methods for approximating solutions of two-point boundary-value problems. Report CNA-130, Center for Numerical Analysis, University of Texas at Austin, January 1978.

CNA-129
L. A. Hageman, Franklin Luk, and David M. Young. On the acceleration of iterative methods: Preliminary report. Report CNA-129, Center for Numerical Analysis, University of Texas at Austin, December 1977.

CNA-128
Gunther Hammerlin and Larry L. Schumaker. Procedures for kernel approximation and solution of Fredholm integral equations of the second kind. Report CNA-128, Center for Numerical University of Texas at Austin, at Austin, November 1977.

CNA-127
G. M. Phillips, J. H. McCabe, and E. W. Cheney. A mixed-norm bivariate approximation problem with applications to lewanowicz operators. Report CNA-127, U Center for Numerical Analysis, University of Texas at Austin, October 1977.

CNA-126
David R. Kincaid and Roger G. Grimes. Itpack report: Numerical studies of several adaptive iterative algorithms. Report CNA-126, Center for Numerical Analysis, University of Texas at Austin, August 1977.

CNA-125
Andrew Martin and James Daniel. Extrapolation with spline-collocation methods for two point boundary-value problem II: C-cubics with detailed results. Report CNA-125, Center for Numerical Analysis, University of Texas at Austin, August 1977.

CNA-124
C. L. Lawson, R. J. Hanson, D. R. Kincaid, and F.T. Krogh. Basic linear algebra subprograms for fortran usage. Report CNA-124, Center for Numerical Analysis, University of Texas at Austin, July 1977.

CNA-123
David Young and Linda Hayes. The accelerated SSOR method for solving large linear systems. Report CNA-123, Center for Numerical Analysis, University of Texas at Austin, May 1977.

CNA-122
G. G. Lorentz. Incomplete polynomials of best approximation. Report CNA-122, Center for Numerical Analysis, University of Texas at Austin, April 1977.

CNA-121
A. K. Cline. A portable subprogram for the high order approximation of integrals using equispaced nodes. Report CNA-121, University of Texas at Austin,, University of Texas at Austin, March 1977.

CNA-120
A. K. Cline. Two subroutine packages for the efficient updating of matrix factorizations. Report CNA-120, Center for Numerical Analysis, University of Texas at Austin, March 1977.

CNA-119
G. G. Lorentz. Approximation by incomplete polynomials (problems and results). Report CNA-119, Center for Numerical Analysis, University of Texas at Austin, February 1977.

CNA-118
Andrew Sherman. NSPIV: A Fortran subroutine for Gaussian elimination with partial pivoting. Report CNA-118, Center for Numerical Analysis, University of Texas at Austin, January 1977.

CNA-117
J. M. Bennett and W. Fraser. Rational Chebyshev approximation by werner's eigenvalue method and the use of sturm sequences. Report CNA-117, Center for Numerical Analysis, University of Texas at Austin, November 1976.

CNA-116
P. Copley and L. L. Schumaker. On pLg-splines. Report CNA-116, Center for Numerical Analysis, University of Texas at Austin, October 1976.

CNA-115
E. W. Cheney. Projection operators in approximation theory. Report CNA-115, Center for Numerical Analysis, University of Texas at Austin, October 1976.

CNA-114
James W. Daniel. Improving the Manry-Aggarwal method for designing multi-dimensional fir digital filters. Report CNA-114, Center for Numerical Analysis, University of Texas at Austin, September 1976.

CNA-113
C. Franchetti and E. W. Cheney. Orthogonal projections in spaces of continuous functions. Report CNA-113, Center for Numerical Analysis, University of Texas at Austin, September 1976.

CNA-112
Andrew B. White, Jr. On selection of equidistributing meshes for two-point boundary-value problems. Report CNA-112, Center for Numerical Analysis, University of Texas at Austin, July 1976.

CNA-111
C. Franchetti and G. F. Votruba. Projection constants and MacPhail numbers. Report CNA-111, Center for Numerical Analysis, University of Texas at Austin, May 1976.

CNA-110
C. Franchetti and E. W. Cheney. Minimal projections of finite rank in sequence spaces. Report CNA-110, Center for Numerical Analysis, University of Texas at Austin, September 1976.

CNA-109
David M. Gay. Implementing Brown's method. Report CNA-109, Center for Numerical Analysis, University of Texas at Austin, December 1975.

CNA-108
L. L. Schumaker. Lower bounds for spline approximation. Report CNA-108, Center for Numerical Analysis, University of Texas at Austin, November 1975.

CNA-107
James W. Daniel and Andrew J. Martin. Implementing deferred corrections for Numerov's difference method for second-order two-point boundary-value problems. Report CNA-107, Center for Numerical Analysis, University of Texas at Austin, November 1975.

CNA-106
C. Franchetti and E. W. Cheney. Minimal projections in -spaces. Report CNA-106, Center for Numerical Analysis, University of Texas at Austin, October 1975.

CNA-105
E. W. Cheney. Applications of fixed-point theorems to approximation theory. Report CNA-105, Center for Numerical Analysis, University of Texas at Austin, September 1975.

CNA-104
Yasuhiko Ikebe. A note on integral equations satisfied by Mathieu functions. Report CNA-104, Center for Numerical Analysis, University of Texas at Austin, November 1975.

CNA-103
G. G. Lorentz. Birkhoff interpolation problem. Report CNA-103, Center for Numerical Analysis, University of Texas at Austin, July 1975.

CNA-102
David R. Kincaid and David M. Young. The development of a computer package for solving a class of partial differential equations by iterative methods. Report CNA-102, Center for Numerical Analysis, University of Texas at Austin, July 1975.

CNA-101
David M. Young. Iterative solution of linear systems arising from finite element techniques. Report CNA-101, Center for Numerical Analysis, University of Texas at Austin, May 1975.

CNA-100
Yasuhiko Ikebe. Matrix-theoretic approach for the numerical computation of the eigenvalues of Mathieu's equation. Report CNA-100, Center for Numerical Analysis, University of Texas at Austin, May 1975.

CNA-99
Irene Gargantini. Parallel square root iterations. Report CNA-99, Center for Numerical Analysis, University of Texas at Austin, March 1975.

CNA-98
E. W. Cheney and T. J. Rivlin. A note of some lebesgue constants. Report CNA-98, Center for Numerical Analysis, University of Texas at Austin, February 1975.

CNA-97
T. A. Kilgore and E. W. Cheney. An existence theorem for solutions of nonlinear systems of equations. Report CNA-97, Center for Numerical Analysis, University of Texas at Austin, January 1975.

CNA-96
E. W. Cheney and T. J. Rivlin. Some polynomial approximation operators. Report CNA-96, Center for Numerical Analysis, University of Texas at Austin, November 1974.

CNA-95
Charles G. Cullen. Dynamic parameter determination with the Jacobi semi-iterative method. Report CNA-95, Center for Numerical Analysis, University of Texas at Austin, November 1974.

CNA-94
E. W. Cheney. A bibliography for approximation theory. Report CNA-94, Center for Numerical Analysis, University of Texas at Austin, October 1974.

CNA-93
David M. Young. Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations. Report CNA-93, Center for Numerical Analysis, University of Texas at Austin, October 1974.

CNA-92
David M. Young. On the accelerated ssor method for solving large linear systems. Report CNA-92, Center for Numerical Analysis, University of Texas at Austin, September 1974.

CNA-91
E. W. Cheney. A survey of recent progress in approximation theory. Report CNA-91, Center for Numerical Analysis, University of Texas at Austin, September 1974.

CNA-90
David R. Kincaid. Numerical results of the application of complex second-degree and semi-iterative methods. Report CNA-90, Center for Numerical Analysis, University of Texas at Austin, September 1974.

CNA-89
James W. Daniel. Extrapolation with spline-collocation methods for two-point boundary-value problems I: Justifications and proposals. Report CNA-89, Center for Numerical Analysis, University of Texas at Austin, August 1974.

CNA-88
James W. Daniel. Off-knot spline interpolation and constrained approximation: Some negative results. Report CNA-88, Center for Numerical Analysis, University of Texas at Austin, August 1974.

CNA-87
James W. Daniel. Asymptotic error expansions for spline interpolation: Some remarks. Report CNA-87, Center for Numerical Analysis, University of Texas at Austin, August 1974.

CNA-86
David W. Matula. The base conversion problem for a residue number system. Report CNA-86, Center for Numerical Analysis, University of Texas at Austin, August 1974.

CNA-85
Thomas H. Southard. Addition chains for the first n triangular numbers. Report CNA-85, Center for Numerical Analysis, University of Texas at Austin, May 1974.

CNA-84
Thomas H. Southard. Addition chains for the first n squares. Report CNA-84, Center for Numerical Analysis, University of Texas at Austin, May 1974.

CNA-83
David M. Young. On the accelerated SSOR method for solving elliptic boundary value problems. Report CNA-83, Center for Numerical Analysis, University of Texas at Austin, December 1974.

CNA-82
Yasuhiko Ikebe. The roots of the regular Coulomb wave functions and of their derivatives. Report CNA-82, Center for Numerical Analysis, University of Texas at Austin, March 1974.

CNA-81
Yasuhiko Ikebe. On the zeroes of Bessel functions of real order greater than minus one. Report CNA-81, Center for Numerical Analysis, University of Texas at Austin, February 1974.

CNA-80
T. A. Kilgore and E. W. Cheney. A theorem on interpolation in Haar substances. Report CNA-80, Center for Numerical Analysis, University of Texas at Austin, January 1974.

CNA-79
P. D. Morris, K. H. Price, and E. W. Cheney. On an approximation operator of de la Vallee Poussin. Report CNA-79, Center for Numerical Analysis, University of Texas at Austin, January 1974.

CNA-78
James W. Daniel. Splines and efficiency in dynamic programming. Report CNA-78, Center for Numerical Analysis, University of Texas at Austin, September 1973.

CNA-77
James W. Daniel. Remarks on perturbations in linear inequalities. Report CNA-77, Center for Numerical Analysis, University of Texas at Austin, September 1973.

CNA-76
T. A. Kilgore and E. W. Cheney. A theorem on Lagrange interpolation. Report CNA-76, Center for Numerical Analysis, University of Texas at Austin, August 1973.

CNA-75
E. W. Cheney and P. D. Morris. The numerical determination of projection constants. Report CNA-75, Center for Numerical Analysis, University of Texas at Austin, August 1973.

CNA-74
Yasuhiko Ikebe. Acceleration of stationary iterative processes by adaptive extrapolation. Report CNA-74, Center for Numerical Analysis, University of Texas at Austin, August 1973.

CNA-73
Tsann-wang Yu. Comparison of numerical methods for ordinary differential equations. Report CNA-73, Center for Numerical Analysis, University of Texas at Austin, July 1973.

CNA-72
Yasuhiko Ikebe and E. Williams. The regularization method for the numerical solution of the Fredholm integral equation of the first kind. Report CNA-72, Center for Numerical Analysis, University of Texas at Austin, July 1973.

CNA-71
Richard Bartels. A Cholesky-factor updating technique for rank-two matrix modifications. Report CNA-71, Center for Numerical Analysis, University of Texas at Austin, July 1973.

CNA-70
David W. Matula. A uniform set covering lemma. Report CNA-70, Center for Numerical Analysis, University of Texas at Austin, June 1973.

CNA-69
David W. Matula. An extension of Brooks' theorem. Report CNA-69, Center for Numerical Analysis, University of Texas at Austin, May 1973.

CNA-68
James W. Daniel. The continuity of metric projections as functions of the data. Report CNA-68, Center for Numerical Analysis, University of Texas at Austin, April 1973.

CNA-67
H. Berens and G. G. Lorentz. Theorems of Korovkin type for positive linear operators on Banach lattices. Report CNA-67, Center for Numerical Analysis, University of Texas at Austin, April 1973.

CNA-66
David W. Matula. A family of connectivity related covering numbers. Report CNA-66, Center for Numerical Analysis, University of Texas at Austin, April 1973.

CNA-65
C. de Boor and James W. Daniel. Splines with non-negative B-spline coefficients. Report CNA-65, Center for Numerical Analysis, University of Texas at Austin, March 1973.

CNA-64
Richard Bartels. The cholesky factorization for derivative-free nonlinear least squares. Report CNA-64, Center for Numerical Analysis, University of Texas at Austin, March 1973.

CNA-63
Richard Bartels and James W. Daniel. A conjugate gradient approach to nonlinear elliptic boundary value problems in irregular regions. Report CNA-63, Center for Numerical Analysis, University of Texas at Austin, February 1973.

CNA-62
L. L. Schumaker. Constructive aspects of discrete polynomial spline functions. Report CNA-62, Center for Numerical Analysis, University of Texas at Austin, January 1973.

CNA-61
Tom Lyche and L. L. Schumaker. On the convergence of cubic interpolating splines. Report CNA-61, Center for Numerical Analysis, University of Texas at Austin, September 1972.

CNA-60
Harold D. Eidson and L. L. Schumaker. Computation of G-splines via a factorization method. Report CNA-60, Center for Numerical Analysis, University of Texas at Austin, September 1972.

CNA-59
G. G. Lorentz. Korovkin sets. Report CNA-59, Center for Numerical Analysis, University of Texas at Austin, September 1972.

CNA-58
James W. Daniel. Stability of the solution of definite quadratic programs. Report CNA-58, Center for Numerical Analysis, University of Texas at Austin, September 1972.

CNA-57
J. W. Jerome and L. L. Schumaker. Characterizations of absolute continuity and essential boundedness for higher order derivatives. Report CNA-57, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-56
David M. Young. A survey of modern numerical analysis. Report CNA-56, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-55
David M. Young. On the solution of large systems of linear algebraic equations with sparse, positive definite matrices. Report CNA-55, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-54
K. H. Price and E. W. Cheney. Extremal properties of approximation operators. Report CNA-54, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-53
James W. Daniel. Newton's method for nonlinear inequalities. Report CNA-53, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-52
David M. Young and David R. Kincaid. Linear stationary second-degree methods for the solution of large linear systems. Report CNA-52, Center for Numerical Analysis, University of Texas at Austin, October 1972.

CNA-51
P. D. Morris and E. W. Cheney. Stability properties of trigonometric interpolating operators. Report CNA-51, Center for Numerical Analysis, University of Texas at Austin, August 1972.

CNA-50
James W. Daniel. On perturbations in systems of linear inequalities. Report CNA-50, Center for Numerical Analysis, University of Texas at Austin, July 1972.

CNA-49
G. W. Stewart. Conjugate direction algorithms and matrix decompositions. Report CNA-49, Center for Numerical Analysis, University of Texas at Austin, July 1972.

CNA-48
James W. Daniel. Global convergence for Newton methods in mathematical programming. Report CNA-48, Center for Numerical Analysis, University of Texas at Austin, June 1972.

CNA-47
M. M. Blevins and G. W. Stewart. Calculating the eigenvectors of diagonally dominant matrices. Report CNA-47, Center for Numerical Analysis, University of Texas at Austin, June 1972.

CNA-46
G. W. Stewart. Error and perturbation bounds for subspaces associated with eigenvalue problems. Report CNA-46, Center for Numerical Analysis, University of Texas at Austin, June 1972.

CNA-45
James W. Daniel. A generalized contraction mapping theorem in E-metric spaces. Report CNA-45, Center for Numerical Analysis, University of Texas at Austin, June 1972.

CNA-44
R. H. Bartels. Nonlinear least squares without derivatives: An application of the QR matrix decomposition. Report CNA-44, Center for Numerical Analysis, University of Texas at Austin, April 1972.

CNA-43
L. L. Schumaker and M. J. Munteau. Direct and inverse theorems for multidimensional spline approximation. Report CNA-43, Center for Numerical Analysis, University of Texas at Austin, April 1972.

CNA-42
Tran Phien. An application of semi-iterative and second-degree symmetric successive over-relaxation iterative methods. Report CNA-42, Center for Numerical Analysis, University of Texas at Austin, May 1972.

CNA-41
G. W. Stewart. A note on non-Hermitian perturbations of Hermitian matrices. Report CNA-41, Center for Numerical Analysis, University of Texas at Austin, April 1972.

CNA-40
L. L. Schumaker and M. J. Munteau. On a method for Carasso and Laurent for constructing interpolating splines. Report CNA-40, Center for Numerical Analysis, University of Texas at Austin, April 1972.

CNA-39
Jo Ann Howell. An algorithm for the exact reduction of a matrix to Frobenius form using modular arithmetic. Report CNA-39, Center for Numerical Analysis, University of Texas at Austin, April 1972.

CNA-38
Yasuhiko Ikebe. On matrix linear dependence. Report CNA-38, Center for Numerical Analysis, University of Texas at Austin, February 1972.

CNA-37
E. W. Cheney and P. D. Morris. On the existence and characterization of minimal projections. Report CNA-37, Center for Numerical Analysis, University of Texas at Austin, January 1972.

CNA-36
David R. Kincaid. On complex second-degree iterative methods. Report CNA-36, Center for Numerical Analysis, University of Texas at Austin, March 1972.

CNA-35
E. W. Cheney and J. Blatter. Minimal projections on hyperplanes in sequence spaces. Report CNA-35, Center for Numerical Analysis, University of Texas at Austin, December 1971.

CNA-34
Hiroshi Fujii. Finite-element Galerkin method for mixed initial-boundary value problems in elasticity theory. Report CNA-34, Center for Numerical Analysis, University of Texas at Austin, October 1971.

CNA-33
David M. Young and David R. Kincaid. The modified successive overrelaxation method with fixed parameters. Report CNA-33, Center for Numerical Analysis, University of Texas at Austin, October 1971.

CNA-32
G. W. Stewart and C. B. Moler. An algorithm for the generalized matrix eigenvalue problem . Report CNA-32, Center for Numerical Analysis, University of Texas at Austin, October 1971.

CNA-31
Tom Lyche and L. L. Schumaker. Algol procedures for computing and interpolating natural splines. Report CNA-31, Center for Numerical Analysis, University of Texas at Austin, September 1971.

CNA-30
O. L. Mangasarian and L. L. Schumaker. Best summation formulae and discrete splines. Report CNA-30, Center for Numerical Analysis, University of Texas at Austin, August 1971.

CNA-29
James W. Daniel. Convergent step sizes for curvi-linear-path methods of minimization. Report CNA-29, Center for Numerical Analysis, University of Texas at Austin, July 1971.

CNA-28
E. W. Cheney. Projections with finite carrier. Report CNA-28, Center for Numerical Analysis, University of Texas at Austin, July 1971.

CNA-27
Robert T. Gregory. The use of residue arithmetic with automatic digital computers. Report CNA-27, Center for Numerical Analysis, University of Texas at Austin, July 1971.

CNA-26
David R. Kincaid and David M. Young. Norms of the successive overrelaxation method. Report CNA-26, Center for Numerical Analysis, University of Texas at Austin, July 1971.

CNA-25
L. L. Schumaker and M. J. Munteau. Some multidimensional spline approximation methods. Report CNA-25, Center for Numerical Analysis, University of Texas at Austin, July 1971.

CNA-24
David R. Kincaid. A class of norms of iterative methods for solving systems of linear equations. Report CNA-24, Center for Numerical Analysis, University of Texas at Austin, June 1971.

CNA-23
David R. Kincaid. Extrapolated, semi-iterative and second-degree methods for solving systems of linear equations. Report CNA-23, Center for Numerical Analysis, University of Texas at Austin, June 1971.

CNA-22
James W. Daniel. The Ritz-Galerkin method for abstract optimal control problems. Report CNA-22, Center for Numerical Analysis, University of Texas at Austin, May 1971.

CNA-21
M. J. Munteau. On the construction of a class of generalized interpolating splines in one variable. Report CNA-21, Center for Numerical Analysis, University of Texas at Austin, May 1971.

CNA-20
M. J. Munteau. On the construction of a class of smoothing splines in several variables. Report CNA-20, Center for Numerical Analysis, University of Texas at Austin, May 1971.

CNA-19
David M. Young. The solution of large systems of linear algebraic equations by iterative methods. Report CNA-19, Center for Numerical Analysis, University of Texas at Austin, May 1971.

CNA-18
David R. Kincaid. An analysis of a class of norms of iterative methods for systems of linear equations. Report CNA-18 (Ph.D. dissertation), Center for Numerical Analysis, University of Texas at Austin, May 1971.

CNA-17
L. L. Schumaker. Computation of smoothing and interpolating natural splines via local bases. Report CNA-17, Center for Numerical Analysis, University of Texas at Austin, April 1971.

CNA-16
Tom Lyche. Tchebycheffian multistep methods for ordinary differential equations. Report CNA-16, Center for Numerical Analysis, University of Texas at Austin, April 1971.

CNA-15
James W. Daniel. Partial analysis of an algorithm for minimizing functions based on a homogeneous model. Report CNA-15, Center for Numerical Analysis, University of Texas at Austin, April 1971.

CNA-14
M. J. Munteau. Generalized smoothing spline function for operators. Report CNA-14, Center for Numerical Analysis, University of Texas at Austin, March 1971.

CNA-13
G. W. Stewart. On the sensitivity of the eigenvalue problem . Report CNA-13, Center for Numerical Analysis, University of Texas at Austin, October 1971.

CNA-12
G. W. Stewart. On the numerical properties of an iteration for computing the Moore-Penrose generalized inverse. Report CNA-12, Center for Numerical Analysis, University of Texas at Austin, March 1971.

CNA-11
M. J. Munteau. A generalization of the construction of Laurent and Carasso for interpolating L-splines. Report CNA-11, Center for Numerical Analysis, University of Texas at Austin, February 1971.

CNA-10
James W. Daniel and L. L. Schumaker. On the closedness of the linear image of a set with applications to generalized spline functions. Report CNA-10, Center for Numerical Analysis, University of Texas at Austin, February 1971.

CNA-9
James W. Daniel. Remarks on the closedness of the sum of two sets. Report CNA-9, Center for Numerical Analysis, University of Texas at Austin, February 1971.

CNA-8
H. W. Griffith. Preliminary investigations using interval arithmetic in the numerical evaluation of polynomials. Report CNA-8, Center for Numerical Analysis, University of Texas at Austin, January 1971.

CNA-7
Yasuhiko Ikebe. Hermite-Birkhoff interpolation problems in Haar subspaces. Report CNA-7, Center for Numerical Analysis, University of Texas at Austin, January 1971.

CNA-6
David M. Young. Generalizations of property A and consistent ordering. Report CNA-6, Center for Numerical Analysis, University of Texas at Austin, November 1970.

CNA-5
Yasuhiko Ikebe. The Galerkin method for numerical solution of Fredholm integral equation of the first kind. Report CNA-5, Center for Numerical Analysis, University of Texas at Austin, October 1970.

CNA-4
G. W. Stewart. Error bounds for approximate subspaces of closed linear operators in Hilbert space. Report CNA-4, Center for Numerical Analysis, University of Texas at Austin, October 1970.

CNA-3
Joseph W. Jerome. Local bases and computation of G-splines. Report CNA-3, Center for Numerical Analysis, University of Texas at Austin, September 1970.

CNA-2
James W. Daniel. Approximate minimization of functionals by discretization: Numerical methods in optimal control. Report CNA-2, Center for Numerical Analysis, University of Texas at Austin, September 1970.

CNA-1
David M. Young, Jr., and Harold D. Eidson. On the determination of the optimum relaxation factor for the SOR method when the eigenvalues of the Jacobi method are complex. Report CNA-1, Center for Numerical Analysis, University of Texas at Austin, September 1970.

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