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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 MATLABM-file that generates it.
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Nicholas J. Higham (1991) studied this question.
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