A Perron theorem for positive componentwise bilinear maps

DOI10.1016/j.laa.2004.09.021zbMath1064.15024OpenAlexW2030837881MaRDI QIDQ1763837

Joseph E. Carroll, Timothy Lauck, Roland H. Lamberson

Publication date: 22 February 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.2004.09.021

zbMATH Keywords

contraction mappingPerron-Frobenius theoremsexual reproductionHilbert projective pseudometric

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Unnamed Item
• 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.
• Birkhoff's contraction coefficient
• 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

This page was built for publication: A Perron theorem for positive componentwise bilinear maps