Nonnegative jordan bases

DOI10.1080/03081088808817861zbMath0645.15015OpenAlexW2060670443MaRDI QIDQ3788140

Michael Neumann, Rafael Bru

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817861

zbMATH Keywords

spectral radiusPerron-Frobenius theorypositive eigenvaluesimple eigenvaluenonnegative Jordan basisRothblum basis

Mathematics Subject Classification ID

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

Related Items (10)

Combinatorial bases, derived jordan sets and the equality of the height and level characteristics of anM-matrix ⋮ On nonnegative jordan chains for the generalized nullspace of a singularM-Matrix^* ⋮ Singular graph and extension of Jordan chains of an \(M\)-matrix ⋮ An algebraic-analytic approach to nonnegative bases ⋮ A new iterative criterion for \(H\)-matrices: The reducible case ⋮ On the existence of matrices with prescribed height and level characteristics ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ On the Core of a Cone-Preserving Map ⋮ Height bases, level bases, and the equality of the height and the level characteristics of anM-matrix ⋮ On the Perron roots of principal submatrices of co-order one of irreducible nonnegative matrices

Cites Work

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• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Algebraic eigenspaces of nonnegative matrices
• On the singular graph and the Weyl characteristic of an M-matrix
• On the maximum eigenvalue of a reducible non-negative real matrix
• An Alternative Approach to Canonical Forms of Matrices

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