Mathematical Software (TOMS)


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ACM Transactions on Mathematical Software (TOMS), Volume 17 Issue 3, Sept. 1991

Algorithm 694: a collection of test matrices in MATLAB
Nicholas J. Higham
Pages: 289-305
DOI: 10.1145/114697.116805

Algorithm 695: software for a new modified Cholesky factorization
Elizabeth Eskow, Robert B. Schnabel
Pages: 306-312
DOI: 10.1145/114697.116806

Efficient sparse matrix factorization on high performance workstations—exploiting the memory hierarchy
Edward Rothberg, Anoop Gupta
Pages: 313-334
DOI: 10.1145/114697.116809

Algorithm 696: an inverse rayleigh iteration for complex band matrices
Géza Schrauf
Pages: 335-340
DOI: 10.1145/114697.116807

A method of univariate interpolation that has the accuracy of a third-degree polynomial
Hiroshi Akima
Pages: 341-366
DOI: 10.1145/114697.116810

Algorithm 697: univariate interpolation that has the accuracy of a third-degree polynomial
Hiroshi Akima
Page: 367
DOI: 10.1145/114697.116808

Highly continuous Runge-Kutta interpolants
D. J. Higham
Pages: 368-386
DOI: 10.1145/114697.103150
To augment the discrete Runge-Kutta solutlon to the mitlal value problem, piecewlse Hermite interpolants have been used to provide a continuous approximation with a continuous first derivative We show that it M possible to construct mterpolants...

Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8
P. W. Sharp
Pages: 387-409
DOI: 10.1145/114697.116811
We performed numerical testing of six explicit Runge-Kutta pairs ranging in order from a (3,4) pair to a (7,8) pair. All the test problems had smooth solutions and we assumed dense output was not required. The pairs were implemented in a...

Fast evaluation of elementary mathematical functions with correctly rounded last bit
Abraham Ziv
Pages: 410-423
DOI: 10.1145/114697.116813

Remark on algorithm 669
Desmond J. Higham
Pages: 424-426
DOI: 10.1145/114697.116814

ACM Algorithms Policy
Fred T. Krogh
Pages: 427-430
DOI: 10.1145/114697.356357