Reducible sign \(k\)-potent sign pattern matrices

DOI10.1016/S0024-3795(99)00067-1zbMath0935.15009WikidataQ128104779 ScholiaQ128104779MaRDI QIDQ1124904

Jeffrey L. Stuart

Publication date: 29 November 1999

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

zbMATH Keywords

sign pattern matrixFrobenius normal formreducible matricesreduced block matrixsign \(k\)-potent

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (13)

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 ⋮ Bounds on the base of primitive nearly reducible sign pattern matrices ⋮ Sign idempotent sign pattern matrices that allow idempotence ⋮ Construction and nonnegativity of sign idempotent sign pattern matrices ⋮ Periodic, reducible, powerful ray pattern matrices ⋮ The period and base of a reducible sign pattern matrix ⋮ 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 ⋮ Irreducible, pattern \(k\)-potent ray pattern matrices ⋮ Reducible pattern \(k\)-potent ray pattern matrices

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