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ACM Transactions on Mathematical Software (TOMS), Volume 19 Issue 1, March 1993

Algorithm 714: CELEFUNT: a portable test package for complex elementary functions
W. J. Cody
Pages: 1-21
DOI: 10.1145/151271.151272
This paper discusses CELEFUNT, a pakage of Fortran programs for testing complex elementary functions....

Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers
W. J. Cody
Pages: 22-30
DOI: 10.1145/151271.151273
SPECFUN is a package containing transportable FORTRAN special function programs for real arguments and accompanying test drivers. Components include Bessel functions, exponential integrals, error functions and related functions, and gamma...

An accurate computation of the hypergeometric distribution function
Trong Wu
Pages: 33-43
DOI: 10.1145/151271.151274
The computation of the cumulative hypergeometric distribution function is of interest to many researchers who are working in the computational sciences and related areas. Presented here is a new method for computing this function that applies...

ODEXPERT: an expert system to select numerical solvers for initial value ODE systems
M. S. Kamel, W. H. Enright, K. S. Ma
Pages: 44-62
DOI: 10.1145/151271.151275
ODEXPERT is a prototype knowledge-based system which selects the appropriate numerical solvers for initial value ordinary differential equations. It is capable of deriving some knowledge about the input problem by performing automated tests to...

A modified Adams method for nonstiff and mildly stiff initial value problems
J. R. Cash, S. Semnani
Pages: 63-80
DOI: 10.1145/151271.151276
Adams predictor-corrector methods, and explicit Runge–Kutta formulas, have been widely used for the numerical solution of nonstiff initial value problems. Both of these classes of methods have certain drawbacks, however, and it has long...

Algorithm 716: TSPACK: tension spline curve-fitting package
R. J. Renka
Pages: 81-94
DOI: 10.1145/151271.151277
The primary purpose of TSPACK is to construct a smooth function which interpolates a discrete set of data points. The function may be required to have either one or two continuous derivatives. If the accuracy of the data does not warrant...

Computing tensor product decompositions
Dennis M. Snow
Pages: 95-108
DOI: 10.1145/151271.151278
An algorithm is presented for computing the decomposition of a tensor product of two irreducible representations of a semisimple complex Lie group into its irreducible components. The algorithm uses a known formula which expresses the...

Algorithm 717: Subroutines for maximum likelihood and quasi-likelihood estimation of parameters in nonlinear regression models
David S. Bunch, David M. Gay, Roy E. Welsch
Pages: 109-130
DOI: 10.1145/151271.151279
We present FORTRAN 77 subroutines that solve statistical parameter estimation problems for general nonlinear models, e.g., nonlinear least-squares, maximum likelihood, maximum quasi-likelihood, generalized nonlinear least-squares, and some...