On the characterization of almost strictly totally positive matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1995 English Publisher:Springer Science and Business Media LLCJournal:Advances in Computational Mathematics, volume 3, pages 239-250 (issn: 1019-7168, eissn: 1572-9044,

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Authors: Mariano Gasca; Juan Manuel Peña 0001;

doi: 10.1007/bf02432001

On the characterization of almost strictly totally positive matrices

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Abstract

An algorithmic characterization of almost strictly totally positive matrices by Neville elimination is given. Moreover, a determinantal characterization of them is proved in terms of the positivity of a very reduced number of their minors and also in terms of their factorizations.

Related Organizations

University of Zaragoza
Spain

Keywords

Positive matrices and their generalizations; cones of matrices, almost strictly totally positive matrices, determinantal characterization, factorizations, algorithmic characterization, Neville elimination

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