The Perron generalized eigenspace and the spectral cone of a cone-preserving map

DOI10.1016/j.laa.2004.08.020zbMath1062.15013OpenAlexW1998579639MaRDI QIDQ703645

Bit-Shun Tam

Publication date: 11 January 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.2004.08.020

zbMATH Keywords

nonnegative matrixcone-preserving mapspectral conemajorization relationprincipal componentheight characteristiclevel characteristicsPerron generalized eigenspacepreferred-basis theoremsemi-distinguished invariant face

Mathematics Subject Classification ID

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

Related Items (3)

On common invariant cones for families of matrices ⋮ The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem. ⋮ Maximal exponents of polyhedral cones (III)

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