Dynamics of products of nonnegative matrices

DOI10.17398/2605-5686.37.2.223arXiv2010.05560MaRDI QIDQ6177891

Yogesh Kumar Prajapaty, Sachindranath Jayaraman, Shrihari Sridharan

Publication date: 18 January 2024

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05560

zbMATH Keywords

common eigenvectorscommon periodic pointsproducts of nonnegative matricesorbits of infinite matrix products

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Random iteration (37H12)

Related Items (1)

Dynamics of products of matrices in max algebra

Cites Work

• Stability and convergence in discrete convex monotone dynamical systems
• Common eigenvectors of two matrices
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Infinite products of uniformly paracontracting matrices
• Nonlinear Perron–Frobenius Theory
• Iteration of order preserving subhomogeneous maps on a cone
• Generalizations of the Perron-Frobenius theorem for nonlinear maps
• Common fixed points and common eigenvectors for sets of matrices
• Some Theorems on Commutative Matrices
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