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On the characterization of almost strictly totally positive matrices

✍ Scribed by M. Gasca; J. M. Peña

Book ID: 112749397
Publisher: Springer
Year: 1995
Tongue: English
Weight: 599 KB
Volume: 3
Category: Article
ISSN: 1019-7168
DOI: 10.1007/bf02432001

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📜 SIMILAR VOLUMES

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An n × m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.

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We prove results concerning the interlacing of eigenvalues of principal submatrices of strictly totally positive (STP) matrices.