The rank of powers of matrices in a block triangular form

DOI10.1016/0024-3795(88)90234-0zbMath0655.15003OpenAlexW1993865925MaRDI QIDQ1109097

Shmuel Friedland, Daniel Hershkowitz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90234-0

zbMATH Keywords

bounds for the index. index theorembounds for the rankgraph theoretic methods

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (13)

Predecessor property, full combinatorial column rank, and the height characteristic of an \(M\)-matrix ⋮ Paths in directed graphs and spectral properties of matrices ⋮ The combinatorial structure of the generalized nullspace of a block triangular matrix ⋮ A solution to an inverse height and level characteristics problem ⋮ Principal components of minusM-matrices^∗ ⋮ A Unifying Framework for Higher Order Derivatives of Matrix Functions ⋮ A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices. ⋮ The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices ⋮ The symbiotic relationship of combinatorics and matrix theory ⋮ The height characteristic of block triangular matrices ⋮ On the existence of matrices with prescribed height and level characteristics ⋮ A majorization relation between the height and the level characteristics ⋮ A product index theorem with applications to splittings of \(M\)-matrices

Cites Work

• Algebraic eigenspaces of nonnegative matrices
• On Nonnegative Solutions of Matrix Equations

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