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Mathematics Archives Update #1
Posted:
Apr 28, 1992 8:46 AM


* * * * * * * * * * * * * * * * * * * * * * * * * * * * * MATHEMATICS ARCHIVES UPDATES April 27, 1992 * * at WUARCHIVE.WUSTL.EDU Update #1 * * Moderator: Larry Husch, Dept. Mathematics * * University of Tennessee, Knoxville, TN * * husch@WUARCHIVE.WUSTL.EDU * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
This weekend, I added a new subdirectory: edu/math/calculus.reform 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 softlinked with listings in subdirectories of edu/math/msdos so that you could find them easier.  cla20.zip (linear.algebra) CLA20
A linear or matrix algebra package which obtains for the user the rank, determinant, rworeduced echelon form, Jordan canonical form, characteristic equation, eigenvalues, etc. of a matrix. Some Turbo Pascal code and tpu units are also provided.  linsys10.zip (linear.algebra & college.algebra) LINSYS
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)  solveq10.zip (college.algebra) SOLVEQ
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)  ubas830.zip (number.theory) UBASIC 8.30
UBASIC is a BASIClike 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 contextsensitive online documentation (read ubhelp.doc for information). The file ubhelp.xxx that this uses is ASCII and can be printed for hard copy documentation. (from the file 00readme.txt )  malm.zip (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: BaillieWagstaff 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). etc. (adapted from malm.doc)  ubmpqs32.zip (number.theory) MPQSHD
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)  ultra101.zip (miscellaneous) ULTRA.ASM 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, sm14a.zip, which we softlinked earlier has been upgraded to sm20a.zip.  There are two other packages, iterant.zip (in mirrors/msdos/graphics) which draws bifurcation diagrams among other things and lp100210.zip (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 email address, please send your email address to Larry Husch at husch@wuarchive.wustl.edu



