Irreducible, pattern \(k\)-potent ray pattern matrices

DOI10.1016/S0024-3795(01)00541-9zbMath0998.15030MaRDI QIDQ1603003

Jeffrey L. Stuart, Leroy B. Beasley, Bryan L. Shader

Publication date: 24 June 2002

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

zbMATH Keywords

irreducibility\(k\)-potent matrixray pattern matrixblock circulant matrix

Mathematics Subject Classification ID

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 ⋮ Irreducible powerful ray pattern matrices ⋮ A survey on bases of sign pattern matrices ⋮ Periodic, reducible, powerful ray pattern matrices ⋮ Periodic, irreducible, powerful ray pattern matrices ⋮ Reducible powerful ray pattern matrices ⋮ Sign \(k\)-potent sign patterns and ray \(k\)-potent ray patterns that allow \(k\)-potence ⋮ Reducible pattern \(k\)-potent ray pattern matrices

Cites Work

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• Irreducible sign \(k\)-potent sign pattern matrices
• Reducible sign \(k\)-potent sign pattern matrices
• On the period and base of a sign pattern matrix
• Irreducible powerful ray pattern matrices
• Ray patterns of matrices and nonsingularity
• Reducible pattern \(k\)-potent ray pattern matrices
• Eigenvalue distribution of certain ray patterns
• From real to complex sign pattern matrices

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