Reducible powerful ray pattern matrices

DOI10.1016/j.laa.2004.08.029zbMath1070.15008OpenAlexW4206407021MaRDI QIDQ1772725

Zhongshan Li, Frank J. Hall, Jeffrey L. Stuart

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.029

zbMATH Keywords

sign patternpowerful ray patternreducible ray pattern

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (8)

Sign \(k\)-potent sign patterns and ray \(k\)-potent ray patterns that admit \(k\)-potence ⋮ A survey on bases of sign pattern matrices ⋮ Primitive zero-symmetric sign pattern matrices with zero diagonal attaining the maximum base ⋮ Periodic, reducible, powerful ray pattern matrices ⋮ The period and base of a reducible sign pattern matrix ⋮ Periodic, irreducible, powerful ray pattern matrices ⋮ The minimum upper bound on the first ambiguous power of an irreducible, nonpowerful ray or sign pattern ⋮ Sign \(k\)-potent sign patterns and ray \(k\)-potent ray patterns that allow \(k\)-potence

Cites Work

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• Irreducible, pattern \(k\)-potent ray pattern matrices
• Reducible pattern \(k\)-potent ray pattern matrices
• Eigenvalue distribution of certain ray patterns
• The structure of nonnegative cyclic matrices
• From real to complex sign pattern matrices

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