Qualitative convergence of matrices

DOI10.1016/J.LAA.2009.02.003zbMath1176.15012OpenAlexW2017367519MaRDI QIDQ1019629

Olga Pryporova

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.003

zbMATH Keywords

eigenvalues\(D\)-convergencequalitative stabilitydiagonal convergencemodulus convergencemodulus patternpotential absolute convergencepotential convergencequalitative convergence

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Sign pattern matrices (15B35)

Related Items (1)

Unifying Matrix Stability Concepts with a View to Applications

Cites Work

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• The potentially stable tree sign patterns for dimensions less than five
• Positive feedback may sometimes promote stability
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• Nested sequences of principal minors and potential stability
• Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology
• Matrix Analysis
• Some Sign Patterns that Preclude Matrix Stability
• On another approach to the Schur-Cohn criterion
• When is a Matrix Sign Stable?
• On the potential stability of star sign pattern matrices

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