Mathematical Software (TOMS)


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ACM Transactions on Mathematical Software (TOMS), Volume 21 Issue 3, Sept. 1995

Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
Michele Goano
Pages: 221-232
DOI: 10.1145/210089.210090
Portable Fortran subroutines computing the Fermi-Dirac integral Fjx and the incomplete Fermi-Dirac integral ...

Algorithm 746: PCOMP—a Fortran code for automatic differentiation
M. Dobmann, M. Liepelt, K. Schittkowski
Pages: 233-266
DOI: 10.1145/210089.210091
Automatic differentiation is an interesting and important tool for all numerical algorithms that require derivatives, e.g., in nonlinear programming, optimal control, parameter estimation, and differential equations. The basic idea is to avoid...

Numerical analysis using nonprocedural paradigms
Stephen J. Sullivan, Benjamin G. Zorn
Pages: 267-298
DOI: 10.1145/210089.210093
This article presents a survey on the innovative features of a handful of languages that offer new features that can be valuable in numerical analysis, and a survey of the pros and cons of the languages with regards to work in numerical...

Algorithm 747: a Fortran subroutine to solve the eigenvalue assignment problem for multiinput systems using state feedback
George Miminis, Helmut Roth
Pages: 299-326
DOI: 10.1145/210089.210094
The implementation of an algorithm for the computation of a state feedback for multiinput linear systems, resulting in a closed-loop matrix with a specified self-conjugate set of eigenvalues, is presented. The computation uses only real...

Algorithm 748: enclosing zeros of continuous functions
G. E. Alefeld, F. A. Potra, Yixun Shi
Pages: 327-344
DOI: 10.1145/210089.210111
Two efficient algorithms for enclosing a zero of a continuous function are presented. They are similar to the recent methods, but together with quadratic interpolation they make essential use of inverse cubic interpolation as well. Since...