A link between the Perron-Frobenius theorem and Perron's theorem for difference equations

DOI10.1016/j.laa.2010.09.002zbMath1209.15036OpenAlexW2030874011MaRDI QIDQ616287

Mihály Pituk

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.002

zbMATH Keywords

spectral radiusdifference equationsnonnegative matricesiterationsPerron-Frobenius theoremnonnegative eigenvector

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Linear difference equations (39A06)

Related Items (3)

A variant of the Krein–Rutman theorem for Poincaré difference equations ⋮ Weighted limits for Poincaré difference equations ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion

Cites Work

• Nonnegative iterations with asymptotically constant coefficients
• Convergence of products of matrices in projective spaces
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• Asymptotic behavior of solutions of functional difference equations
• More on Poincaré’s and Perron’s Theorems for Difference Equations∗
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