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)

===============================================================================