On nonsingularity of a polytope of matrices
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Publication:935386
DOI10.1016/j.laa.2007.06.026zbMath1152.15026OpenAlexW2081287323MaRDI QIDQ935386
Taner Büyükköroğlu, Vakif Dzhafarov
Publication date: 6 August 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2007.06.026
Determinants, permanents, traces, other special matrix functions (15A15) Robust stability (93D09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
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Cites Work
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- Systems of linear interval equations
- Guardian maps and the generalized stability of parametrized families of matrices and polynomials
- A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
- Maximal unidirectional perturbation bounds for stability of polynomials and matrices
- Several NP-hard problems arising in robust stability analysis
- Investigation of a subdivision based algorithm for solving systems of polynomial equations.
- On the stability of a convex set of matrices
- Positive Definiteness and Stability of Interval Matrices
- Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
- On the spectrum of convex sets of matrices
- An algorithm for checking stability of symmetric interval matrices
- A necessary and sufficient criterion for the stability of a convex set of matrices
- Probabilistic solutions to some NP-hard matrix problems