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Topic: Mathematics Archives Update #1
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Larry Husch

Posts: 44
Registered: 12/3/04
Mathematics Archives Update #1
Posted: Apr 28, 1992 8:46 AM
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* * * * * * * * * * * * * * * * * * * * * * * * * * * *
* at WUARCHIVE.WUSTL.EDU Update #1 *
* Moderator: Larry Husch, Dept. Mathematics *
* University of Tennessee, Knoxville, TN *
* * * * * * * * * * * * * * * * * * * * * * * * * * * *

This weekend, I added a new subdirectory:
and placed in there an article submitted by Herb Brown on the
experiences at SUNY at Albany. This article originally appeared in
the Notices of the AMS in Oct. 91.
Keith Briggs uploaded a new version of his differential equations
program, ODE26.ZIP Keith has placed this version in public domain.
The following are abstracts of some programs which are "mirrored" at
WUARCHIVE and which I have soft-linked with listings in subdirectories
of edu/math/msdos so that you could find them easier.
---------------------------------------------------------------------- (linear.algebra)

A linear or matrix algebra package which obtains for the user the
rank, determinant, rwo-reduced echelon form, Jordan canonical form,
characteristic equation, eigenvalues, etc. of a matrix.
Some Turbo Pascal code and tpu units are also provided.
---------------------------------------------------------------------- (linear.algebra & college.algebra)

LINSYS is a Turbo Pascal program that solves linear systems. The
systems can be determined or not (homogeneous, etc.). If the system is
not determined, then is given its general solution. The maximum
number of equations and variables allowed is 20. It is possible to
work with rational numbers.
This is a small part of the Computational Linear Algebra Project.
(adapted from linsys.doc)
---------------------------------------------------------------------- (college.algebra)

SOLVEQ is a Turbo Pascal program that finds roots of polynomial of
degree <= 30. In addition to listing the roots, the method used is
also indicated.
This is a part of the Computational Linear Algebra Project.
(adapted from solveq.doc)
---------------------------------------------------------------------- (number.theory)

UBASIC is a BASIC-like environment which is suitable for number
theoretic investigations. Version 8 of UBASIC has the high precision
real and complex arithmetic (up to 2600 digits) of previous versions,
but adds exact rational arithmetic and arithmetic of polynomials with
complex, rational, or modulo p coefficients, as well as string
handling and limited list handling capabilities. In addition UBASIC
has context-sensitive on-line documentation (read ubhelp.doc for
information). The file that this uses is ASCII and can be
printed for hard copy documentation.
(from the file 00readme.txt )
---------------------------------------------------------------------- (number.theory)
Number Theory Programs
by Donald E. G. Malm
and copyrighted by him.

A collection of UBASIC programs which can be used in number theoretic
investigations. Some examples are:
Baillie-Wagstaff Lucas pseudoprime test.
Algorithm for Chinese remaindering.
Elliptic curve method to factorize n.
Fermat's method of factoring.
General periodic continued fraction to quadratic routine.
Evaluates Carmichael's function.
D. H. Lehmer's method of solving x^2 = q (mod p).
(adapted from malm.doc)
---------------------------------------------------------------------- (number.theory)

MPQSHD(for 80386 computers) is a prime factorization program for
the numbers of over 80 digits. The method is the multiple polynomial
quadratic sieve. The program can be interrupted and then restarted.
(adapted from mpqshd.doc)
---------------------------------------------------------------------- (miscellaneous)
by Arif Zaman and George Marsaglia
Department of Statistics and
Supercomputer Computations Research Institute
Florida State University

Assembly language code for a random number generator. Can be used
with Turbo C, Turbo Pascal or Fahey Fortran programs.
The symbolic math package,, which we soft-linked earlier
has been upgraded to
There are two other packages, (in mirrors/msdos/graphics)
which draws bifurcation diagrams among other things and
(in mirrors/msdos/calculator) which is a linear programming package
which I looked at this weekend but I got errors when I ran them.
Others may want to try to see if they work on their machines.
Comments, suggestions, etc. about Mathematics Archives are
appreciated. If you would like to receive future copies of this
newsletter and haven't sent me your e-mail address, please send your
email address to Larry Husch at

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