Inequalities for the Perron root related to Levinger's theorem

DOI10.1016/S0024-3795(98)10084-8zbMath0936.15013MaRDI QIDQ1124753

L. Yu. Kolotilina, Yurii A. Al'pin

Publication date: 28 November 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

monotonicityHadamard productinequalityarithmetic meangeometric meannonnegative matricesPerron roots

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Some monotonicity properties of Schur powers of matrices and related inequalities
• Two inequalities for the Perron root
• Numerical range of matrices and Levinger's theorem
• The perron root of a weighted geometric mean of nonneagative matrices
• Lower bounds for the Perron root of a nonnegative matrix

This page was built for publication: Inequalities for the Perron root related to Levinger's theorem