From real to complex sign pattern matrices

DOI10.1017/S0004972700031518zbMath0951.15021MaRDI QIDQ4397373

Zhongshan Li, Carolyn A. Eschenbach, Frank J. Hall

Publication date: 7 July 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

determinantsray patternscomplex sign pattern matricesnonnegative complex patternsnonsingular complex patternssign semistable patterns

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (12)

Irreducible powerful ray pattern matrices ⋮ Construction and nonnegativity of sign idempotent sign pattern matrices ⋮ Complex-\(L\) matrix and its recognition ⋮ On the boundaries of the determinantal regions of ray pattern matrices ⋮ The determinantal regions of complex sign pattern matrices and ray pattern matrices ⋮ Ray solvable linear systems and ray \(S^2 NS\) matrices ⋮ Reducible powerful ray pattern matrices ⋮ The inverse problems of the determinantal regions of ray pattern and complex sign pattern matrices ⋮ Inverse closed ray-nonsingular cones of matrices ⋮ Symmetric sign pattern matrices that require unique inertia ⋮ Eigenvalue distribution of certain ray patterns ⋮ Irreducible, pattern \(k\)-potent ray pattern matrices

Cites Work

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• Some sign patterns that allow a real inverse pair \(B\) and \(B^{-1}\)
• Sign patterns that require repeated eigenvalues
• Sign-nonsingular matrices and even cycles in directed graphs
• Ray patterns of matrices and nonsingularity
• A combinatorial converse to the Perron-Frobenius theorem
• Sign patterns that require real, nonreal or pure imaginary eigenvalues
• When is a Matrix Sign Stable?
• Combinatorial Matrix Theory
• New Generalizations of Jacobi Matrices
• Qualitative Problems in Matrix Theory
• Qualitative Economics and the Scope of the Correspondence Principle

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