Comparison theorems using general cones for norms of iteration matrices

DOI10.1016/j.laa.2004.09.002zbMath1071.15025OpenAlexW2100757665MaRDI QIDQ1772728

Marina Arav, Hans Schneider, Thomas I. Seidman

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.09.002

zbMATH Keywords

inequalitiesspectral radiuspositivityconvex conePerron-Frobenius theorymatrix normscone norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

Stability of Markov regenerative switched linear systems ⋮ Input-output gain analysis for linear systems on cones ⋮ A limit formula for joint spectral radius with \(p\)-radius of probability distributions ⋮ The spectral radius in partially ordered algebras

Cites Work

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• A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
• Algebraic theory of multiplicative Schwarz methods

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