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The Spectral Radius of a Non-Negative Matrix

Published online by Cambridge University Press:  20 November 2018

A. Berman
A. Berman*
Affiliation:
Department of Mathematics, Israel Institute of Technology, Technion, Haifa
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Abstract

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A max min formula for the spectral radius of a non-negative matrix is derived from a characterization of non-singular M-matrices in terms of diagonal stability.

Keywords

Spectral radiusnon-negative matricespositive semidefinite matricesM-matricesdiagonal stability5.115.1515A1515A48
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 1 , 01 March 1978 , pp. 113 - 114
Copyright
Copyright © Canadian Mathematical Society 1978

References

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3. Krikorian, N., Private communication.Google Scholar
4. Plemmons, R. J., A survey of M-matrix Characterizations I: Non-singular M-matrices, University of Wisconsin. M. R. C. Report No. 1651. To appear in Linear Alg. and Appl.Google Scholar
5. Tartar, L., Une Nouvelle Caracterisation des M-matrices, R. I. R. O., No. R-3 (1971), 127-128.Google Scholar