On the existence of matrices with prescribed height and level characteristics

DOI10.1007/BF02787184zbMath0798.15026OpenAlexW2128847348MaRDI QIDQ1191994

Daniel Hershkowitz, Hans Schneider

Publication date: 27 September 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02787184

zbMATH Keywords

\(M\)-matrixlevel characteristicheight (Weyr) characteristic

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

Predecessor property, full combinatorial column rank, and the height characteristic of an \(M\)-matrix ⋮ A solution to an inverse height and level characteristics problem ⋮ A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices. ⋮ The relation between the height and level characteristics for a matrix with simple singular vertices ⋮ The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices ⋮ The height characteristic of block triangular 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 Core 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

Cites Work

• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• On the generalized nullspace of M-matrices and Z-matrices
• Solutions of Z-matrix equations
• Characterizations and classifications of M-matrices using generalized nullspaces
• The rank of powers of matrices in a block triangular form
• The combinatorial structure of the generalized nullspace of a block triangular matrix
• Algebraic eigenspaces of nonnegative matrices
• On the singular graph and the Weyl characteristic of an M-matrix
• A majorization relation between the height and the level characteristics
• Nonnegative jordan bases
• Combinatorial bases, derived jordan sets and the equality of the height and level characteristics of anM-matrix
• The singular graph of lower triangular, nilpotent matrices
• Height bases, level bases, and the equality of the height and the level characteristics of anM-matrix
• Inequalities: theory of majorization and its applications
• Unnamed Item

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