Minimax theorem for the spectral radius of the product of non-negative matrices

DOI10.1080/03081087.2016.1273877zbMath1387.15017arXiv1603.05375OpenAlexW2299198661MaRDI QIDQ4603763

Victor S. Kozyakin

Publication date: 19 February 2018

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

Full work available at URL: https://arxiv.org/abs/1603.05375

zbMATH Keywords

minimaxspectral radiussaddle pointmatrix productsnon-negative matrices

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

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Cites Work

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• On general minimax theorems
• Multivalued mappings
• On convexity properties of the spectral radius of nonnegative matrices
• Hourglass alternative and the finiteness conjecture for the spectral characteristics of sets of non-negative matrices
• Convexity and log convexity for the spectral radius
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• Polynomial-Time Computation of the Joint Spectral Radius for Some Sets of Nonnegative Matrices
• Convex spectral functions
• Entropy Games and Matrix Multiplication Games

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