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ACM Transactions on Mathematical Software (TOMS), Volume 11 Issue 4, Dec. 1985

GAMS: a framework for the management of scientific software
Ronald F. Boisvert, Sally E. Howe, David K. Kahaner
Pages: 313-355
DOI: 10.1145/6187.6188
The Guide to Available Mathematical Software (GAMS) provides a framework for both a scientist-end-user and a librarian-maintainer to deal with large quantities of mathematical and statistical software. This framework includes a classification...

On the parallel Risch Algorithm (II)
J. H. Davenport, B. M. Trager
Pages: 356-362
DOI: 10.1145/6187.6189
It is proved that, under the usual restrictions, the denominator of the integral of a purely logarithmic function is the expected one, that is, all factors of the denominator of the integrand have their multiplicity decreased by one....

Software for estimating sparse Hessian matrices
Thomas F. Coleman, Burton S. Garbow, Jorge J. Moré
Pages: 363-377
DOI: 10.1145/6187.6190
The solution of a nonlinear optimization problem often requires an estimate of the Hessian matrix for a function f. In large scale problems, the Hessian matrix is usually sparse, and then estimation by differences of gradients...

Algorithm 636: FORTRAN subroutines for estimating sparse Hessian matrices
Thomas F. Coleman, Burton S. Garbow, Jorge J. Moré
Pages: 378-378
DOI: 10.1145/6187.6193

Collocation software for second-order elliptic partial differential equations
E. N. Houstis, W. F. Mitchell, J. R. Rice
Pages: 379-412
DOI: 10.1145/6187.6191
We consider the collocation method for linear, second-order elliptic problems on rectangular and general two-dimensional domains. An overview of the method is given for general domains, followed by a discussion of the improved efficiencies and...

Algorithm 637: GENCOL: collocation of general domains with bicubic hermite polynomials
E. N. Houstis, W. F. Mitchell, J. R. Rice
Pages: 413-415
DOI: 10.1145/6187.6194

Algorithm 638: INTCOL and HERMCOL: collocation on rectangular domains with bicubic hermite polynomials
E. N. Houstis, W. F. Mitchell, J. R. Rice
Pages: 416-418
DOI: 10.1145/6187.6195

A modular system of algorithms for unconstrained minimization
Robert B. Schnabel, John E. Koonatz, Barry E. Weiss
Pages: 419-440
DOI: 10.1145/6187.6192
We describe a new package, UNCMIN, for finding a local minimizer of a real valued function of more than one variable. The novel feature of UNCMIN is that it is a modular system of algorithms, containing three different step selection strategies...

Remark on “Algorithm 246: Graycode [Z]”
M. C. Er
Pages: 441-443
DOI: 10.1145/6187.356154