Birkhoff's contraction coefficient

DOI10.1016/j.laa.2004.02.039zbMath1070.15016OpenAlexW2151456447MaRDI QIDQ1887619

Joseph E. Carroll

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.039

zbMATH Keywords

linear programmingcontraction mappingPerron-Frobenius theoremHilbert projective pseudometric

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

A Perron theorem for positive componentwise bilinear maps ⋮ Symbol ratio minimax sequences in the lexicographic order

Cites Work

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• Convergence in Hilbert's metric and convergence in direction
• Non-negative matrices and Markov chains. 2nd ed
• The Perron-Frobenius theorem without additivity
• An alternative derivation of Birkhoff's formula for the contraction coefficient of a positive matrix.
• An elementary proof of the Hopf inequality for positive operators
• Abschätzungen für die Eigenwerte positiver linearer Operatoren
• An approach to nonlinear programming
• Extensions of Jentzsch's Theorem
• The Contraction Mapping Approach to the Perron-Frobenius Theory: Why Hilbert's Metric?
• The Perron-Frobenius theorem for homogeneous, monotone functions
• On the Projective Contraction Ratio for Positive Linear Mappings

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