Mathematical Software (TOMS)


Search Issue
enter search term and/or author name


ACM Transactions on Mathematical Software (TOMS), Volume 14 Issue 4, Dec. 1988

Algorithm 665: Machar: a subroutine to dynamically determined machine parameters
W. J. Cody
Pages: 303-311
DOI: 10.1145/50063.51907
Numerical software written in high-level languages often relies on machine-dependent parameters to improve portability. MACHAR is an evolving FORTRAN subroutine for dynamically determining thirteen fundamental parameters associated with a...

Solving systems of nonlinear equations using the nonzero value of the topological degree
Michael N. Vrahatis
Pages: 312-329
DOI: 10.1145/50063.214384
Two algorithms are described here for the numerical solution of a system of nonlinear equations F(X) = &THgr;, Q=0,0,&ldots;,0...

Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations
Michael N. Vrahatis
Pages: 330-336
DOI: 10.1145/50063.51906
CHABIS is a mathematical software package for the numerical solution of a system of n nonlinear equations in n variables. First, CHABIS locates at least one solution of the system within an n-dimensional...

An algorithm for the multiplication of symmetric polynomials
John S. Garavelli
Pages: 337-344
DOI: 10.1145/50063.214385
Although the cycle index polynomial for a permutation group can often be easily determined, expansion of the figure counting series in a Po´lya enumeration presents computational difficulties for object sets with higher degrees of symmetry...

A global optimization algorithm using stochastic differential equations
Filippo Aluffi-Pentini, Valerio Parisi, Francesco Zirilli
Pages: 345-365
DOI: 10.1145/50063.50064
SIGMA is a set of FORTRAN subprograms for solving the global optimization problem, which implements a method founded on the numerical solution of a Cauchy problem for a stochastic differential equation inspired by statistical mechanics....

Algorithm 667: Sigma—a stochastic-integration global minimization algorithm
Filippo Aluffi-Pentini, Valerio Parisi, Francesco Zirilli
Pages: 366-380
DOI: 10.1145/50063.51908

FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
Nicholas J. Higham
Pages: 381-396
DOI: 10.1145/50063.214386
FORTRAN 77 codes SONEST and CONEST are presented for estimating the 1-norm ( or the infinity-norm) of a real or complex matrix, respectively. The codes are of wide applicability in condition estimation since explicit access to the matrix,...

Algorithm 668: H2PEC: sampling from the hypergeometric distribution
Voratas Kachitvichyanukul, Bruce W. Schmeiser
Pages: 397-398
DOI: 10.1145/50063.214387

Corrigenda: “An Extended Set of FORTRAN Basic Linear Algebra Subprograms”
Jack J. Dongarra, Jeremy Croz and Sven Hammarling and Richard J. Hanson
Page: 399
DOI: 10.1145/50063.356256

Corrigenda: “Some Tests of Generalized Bisection”
R. Baker Kearfott
Page: 399
DOI: 10.1145/50063.356257

Five-Year Cumulative Author Index (Vol. 10--14. 1984--1988).
Pages: 403-411
DOI: 10.1145/50063.356247