On complex power nonnegative matrices

DOI10.1016/j.laa.2014.12.021zbMath1310.15065arXiv1307.3109OpenAlexW2963638741MaRDI QIDQ2261555

Carmine Di Fiore, Valerio Cardinali, Francesco Tudisco

Publication date: 6 March 2015

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

Full work available at URL: https://arxiv.org/abs/1307.3109

zbMATH Keywords

nonnegative matricesstochastic matricesPerron-Frobenius theoryeventually nonnegative matricespower nonnegative matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items

Towards a Perron-Frobenius theory for eventually positive operators ⋮ Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors ⋮ A note on certain ergodicity coefficients ⋮ The global convergence of the nonlinear power method for mixed-subordinate matrix norms ⋮ The Perron--Frobenius Theorem for Multihomogeneous Mappings ⋮ Power normal matrices

Cites Work

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• On the Perron-Frobenius theory for complex matrices
• On the characteristic roots of power-positive matrices
• Inverses of \(M\)-type matrices created with irreducible eventually nonnegative matrices
• On an inverse problem for nonnegative and eventually nonnegative matrices
• A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices.
• Eventually nonnegative matrices are similar to seminonnegative matrices.
• On matrices with Perron--Frobenius properties and some negative entries
• On the Jordan form of an irreducible matrix with eventually non-negative powers
• On Perron-Frobenius property of matrices having some negative entries
• The combinatorial structure of eventually nonnegative matrices
• Perron-Frobenius theorem for matrices with some negative entries