Nonnegative Matrices That Are Similar to Positive Matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2009 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 31, pages 629-649 (issn: 0895-4798, eissn: 1095-7162,

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Authors: Thomas J. Laffey; Raphael Loewy; Helena Smigoc;

doi: 10.1137/070692807

Nonnegative Matrices That Are Similar to Positive Matrices

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Abstract

We study the question in which nonnegative matrices are similar to positive matrices first raised by Borobia and Moro in 1997. We identify certain classes of nonnegative matrices that are not similar to positive matrices and solve the problem when an $n\times n$ nonnegative matrix has exactly $n$ or $n+1$ elements equal to zero.

Related Organizations

Technion – Israel Institute of Technology
Israel
University of Colorado Denver
United States

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