The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices

DOI10.1016/S0024-3795(99)00064-6zbMath0949.15013WikidataQ126863051 ScholiaQ126863051MaRDI QIDQ1970438

Daniel Hershkowitz

Publication date: 5 December 2000

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

zbMATH Keywords

spectral propertiesnonnegative matricescombinatorial structuregeneralized eigenspaces

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (9)

Jordan chains of \(h\)-cyclic matrices ⋮ Minimum rank problems ⋮ A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices. ⋮ Low rank perturbations and the spectrum of a tridiagonal sign pattern. ⋮ Eventually nonnegative matrices are similar to seminonnegative matrices. ⋮ Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ On the Perron roots of principal submatrices of co-order one of irreducible nonnegative matrices ⋮ The peripheral spectrum of a nonnegative matrix

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