Algorithm 694: A collection of test matrices in MATLAB

Nicholas J. Higham

doi:10.1145/114697.116805

Algorithm 694: A collection of test matrices in MATLAB

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Abstract

We present a collection of 45 parametrized test matrices. The matrices are mostly square, dense, nonrandom, and of arbitrary dimension. The collection includes matrices with known inverses or known eigenvalues, ill-conditioned or rank deficient matrices, and symmetric, positive definite, orthogonal, defective, involuntary, and totally positive matrices. For each matrix we give a MATLAB M-file that generates it.

Original language	English
Pages (from-to)	289-305
Number of pages	16
Journal	ACM Transactions on Mathematical Software
Volume	17
Issue number	3
DOIs	https://doi.org/10.1145/114697.116805
Publication status	Published - Sept 1991

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title = "Algorithm 694: A collection of test matrices in MATLAB",

abstract = "We present a collection of 45 parametrized test matrices. The matrices are mostly square, dense, nonrandom, and of arbitrary dimension. The collection includes matrices with known inverses or known eigenvalues, ill-conditioned or rank deficient matrices, and symmetric, positive definite, orthogonal, defective, involuntary, and totally positive matrices. For each matrix we give a MATLAB M-file that generates it.",

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AB - We present a collection of 45 parametrized test matrices. The matrices are mostly square, dense, nonrandom, and of arbitrary dimension. The collection includes matrices with known inverses or known eigenvalues, ill-conditioned or rank deficient matrices, and symmetric, positive definite, orthogonal, defective, involuntary, and totally positive matrices. For each matrix we give a MATLAB M-file that generates it.

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DO - 10.1145/114697.116805

M3 - Article

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JO - ACM Transactions on Mathematical Software

JF - ACM Transactions on Mathematical Software

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Algorithm 694: A collection of test matrices in MATLAB

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