On parametrization of totally nonpositive matrices and applications (Q2838741)

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scientific article; zbMATH DE number 6185985
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On parametrization of totally nonpositive matrices and applications
scientific article; zbMATH DE number 6185985

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    On parametrization of totally nonpositive matrices and applications (English)
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    10 July 2013
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    totally nonpositive matrix
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    bidiagonal factorization
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    accurate computations
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    inverse matrix
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    The aim of this paper is the extension to the class of totally nonpositive matrices of results known for the class of totally positive matrices which are based on the bidiagonal factorization of those matrices, due to \textit{P. Koev} [SIAM J. Matrix Anal. Appl. 29, No. 3, 731--751 (2007; Zbl 1198.65057)]. In addition, the application of those results to the accurate computation of the inverse matrix is also addressed.
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