Lower bounds for the Perron root of a non-negative irreducible matrix

DOI10.1017/S0305004100059685zbMath0493.15014MaRDI QIDQ3955518

Emeric Deutsch

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Rayleigh quotientlower boundsPerron rootnon-negative irreducible matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

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Cites Work

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• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• Bounds for the greatest characteristic root of an irreducible nonnegative matrix. II
• Some inequalities for the spectral radius of non-negative matrices and applications
• On a lower bound for the perron eigenvalue