Solutions of Z-matrix equations

DOI10.1016/0024-3795(88)90020-1zbMath0652.15016OpenAlexW2038078544MaRDI QIDQ1106915

Daniel Hershkowitz, Hans Schneider

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)90020-1

zbMATH Keywords

positive solutionsZ-matrixM-matricesgraph theoretic conditions

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)

Related Items (11)

Combinatorial bases, derived jordan sets and the equality of the height and level characteristics of anM-matrix ⋮ On the generalized nullspace of M-matrices and Z-matrices ⋮ Characterizations and classifications of M-matrices using generalized nullspaces ⋮ The combinatorial structure of the generalized nullspace of a block triangular matrix ⋮ On the distinguished eigenvalues of a cone-preserving map ⋮ On the existence of matrices with prescribed height and level characteristics ⋮ On the relation between phase-type distributions and positive systems ⋮ Height bases, level bases, and the equality of the height and the level characteristics of anM-matrix ⋮ Totally expanding multiplicative systems ⋮ Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings ⋮ Linear equations over cones and Collatz-Wielandt numbers

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
• Characterizations and classifications of M-matrices using generalized nullspaces
• On Nonnegative Solutions of Matrix Equations

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