Programming Languages: Generation of positive test matrices with known positive spectra

Authors:
C. A. Hall;T. A. Porsching
Affiliations:
Westinghouse Electric Corp., West Mifflin, PA;Westinghouse Electric Corp., West Mifflin, PA
Venue:
Communications of the ACM
Year:
1968

Citing 2
Cited 2

A set of matrices for testing computer programs

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Generation of test matrices by similarity transformations

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Certification of algorithm 343 [F1]: eigenvalues and eigenvectors of a real general matrix

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Generation of test matrices having certain sign patterns and prescribed positive spectra

Communications of the ACM

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Abstract

Sufficient conditions are given for a real matrix to be similar to a positive matrix. This result is used to construct a similarity transformation which, when applied to a particular upper triangular matrix, yields a positive matrix with a preassigned positive spectrum.