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ACM Transactions on Mathematical Software (TOMS), Volume 16 Issue 2, June 1990

Integrating network optimization capabilities into a high-level modeling language
Stavros A. Zenios
Pages: 113-142
DOI: 10.1145/78928.78929
Research in network optimization has reached the stage where large-scale problems-linear or non-linear, pure or generalized-are solved very efficiently with minimal computing resources. Representing such problems for solution on the computer,...

Chemical equilibrium systems as numerical test problems
Keith Meintjes, Alexander P. Morgan
Pages: 143-151
DOI: 10.1145/78928.78930
A system of nonlinear equations has been used as a test case by at least two authors. This system is purported to describe the equilibrium of the products of hydrocarbon combustion. The given system does not describe the stated physical problem,...

Algorithm 681: INTBIS, a portable interval Newton/bisection package
R. Baker Kearfott, Manuel Novoa, III
Pages: 152-157
DOI: 10.1145/78928.78931
We present a portable software package for finding all real roots of a system of nonlinear equations within a region defined by bounds on the variables. Where practical, the package should find all roots with mathematical certainty. Though based...

Algorithm 682: Talbot's method of the Laplace inversion problems
A. Murli, M. Rizzardi
Pages: 158-168
DOI: 10.1145/78928.78932
We describe a FORTRAN implementation, and some related problems, of Talbot's method which numerically solves the inversion problem of almost arbitrary Laplace transforms by means of special contour integration. The basic idea is to...

Computation of exponential integrals of a complex argument
Donald E. Amos
Pages: 169-177
DOI: 10.1145/78928.78933
Previous work on exponential integrals of a real argument has produced a computational algorithm which implements backward recurrence on a three-term recurrence relation (Miller algorithm). The process on which the algorithm is based involves...

Algorithms 683: a portable FORTRAN subroutine for exponential integrals of a complex argument
Donald E. Amos
Pages: 178-182
DOI: 10.1145/78928.78934
The algorithm computes exponential integrals En(z) for integer orders n ≥ 1 and complex z in -&pgr; < arg z ≤ &pgr;. Both single...