Sign patterns with a nest of positive principal minors

DOI10.1016/j.laa.2011.03.060zbMath1244.15022OpenAlexW2099242299MaRDI QIDQ417532

D. Dale Olesky, Pauline van den Driessche, Michael J. Tsatsomeros

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.060

zbMATH Keywords

eigenvalueLU factorizationsign pattern\(P\)-matrix\(Q\)-matrixnested sequencepositive stabilitypotential stabilityprincipal minorsign-nonsingularity

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22) Sign pattern matrices (15B35)

Related Items (1)

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Cites Work

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• Positive feedback may sometimes promote stability
• Nested sequences of principal minors and potential stability
• On complex eigenvalues of M and P matrices
• Stabilization by a Diagonal Matrix

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