This directory contains README this file Section6 directory containing programs, data, and logs (836KB) Section6.tar.gz compressed version of Section6, for downloading (283KB) On a Unix system, the file Section.6.tar.gz can be uncompressed by typing: gunzip -c Section.6.tar.gz | tar xvf - Files in Section.6 ------------------ Programs: bounds.p calls vconvinit and saves result for other programs checkgap.p check that the zeros in zeros.t satify the desired bound contract.p read nhood.v, apply contraction M, write contracted.v divide.p divide out 5 zeros to check that they are the first 5 dkkcheck.p verify e.g. that DK has norm < 4/5 dkkmake.p compute columns for DK dmmnorm.p compute norm of the linearized contraction DM initial.p compute RG parameters and convert approx.t to approx.v kkiter.p iterate K to improve pcoeff.v poly.v kkmore.p construct ball for the contraction K matrices.p compute approx derivative N, and its inverse mkcoeff.p like mkpoly, but higher precision and less coeffs mkpoly.p reads zeros.t and writes the associated canonical product mmfirst.p first part of contraction M: scale and square mmrest.p second part of M: convolution and contraction step zcheck.p check that fixpt.v has zdim zeros near those in zeros.t Include Files: types.h data types and other global quantities ztread procedure to read zeros from a file hiemaps.i include procedures from directory hiemaps kkmap.i include procedures from directory kkmap linear.i include procedures from directory linear reps.i include procedures from directory reps scalar.i include procedures from directory scalar sfun.i include procedures from directory sfun vector.i include procedures from directory vector Directories: hiemaps the RG transformation N etc kkmap the contraction K etc linear some linear algebra stuff reps procedures operating on floating point numbers scalar interval arithmetic procedures sfun some functions vector procedures operating on sets of functions lastlog log files produced by executing run_fast on a Sun-4 using the Pascal compiler pc (SunOS compilers 4.1) Input Data: g.m the matrix G approx.t Taylor coefficients of an approximate RG fixed point f_0 zeros.t approximate zeros of f_0(-.) nhood.v the set V_0 Shell Scripts: after used by run_all to run programs in the correct order choose used by run_fast to choose a machine prun compile and run a single program (see also for compiler options) run_all compiles and runs all programs in the correct order run_fast same as run_all, but distributes task among several machines Misc: INDEX this file =============================================================================== Note ---- On a Unix system, the file Section.6.tar.gz can be unpacked by using the command: gunzip -c Section.6.tar.gz | tar xvf - =============================================================================== Program Dependencies -------------------- initial mkpoly mkcoeff (run first) | | / ._________._______|______._____. | / / | | | \ | / checkgap matrices bounds mmfirst kkiter / \ | / | / `-----|----' / / | / dmmnorm mmrest / | | contract kkmore | | zcheck dkkmake | \ / | \ / | \ / divide dkkcheck (run last) ===============================================================================