Computing Closest Stable Nonnegative Matrix

DOI10.1137/17M1144568zbMath1448.65027OpenAlexW2999865011WikidataQ126397653 ScholiaQ126397653MaRDI QIDQ5210987

Vladimir Yu. Protasov, Yu. E. Nesterov

Publication date: 17 January 2020

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1144568

zbMATH Keywords

Schur stabilityspectral radiuspolyhedral normnonnegative matricesiterative optimization methodnonsymmetric eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonconvex programming, global optimization (90C26) Positive matrices and their generalizations; cones of matrices (15B48) Numerical nonlinear stabilities in dynamical systems (65P40)

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The greedy strategy for optimizing the Perron eigenvalue ⋮ Generalized logistic equation on networks ⋮ Maximal Acyclic Subgraphs and Closest Stable Matrices ⋮ Nearest \(\Omega \)-stable matrix via Riemannian optimization ⋮ Stabilizing the Metzler matrices with applications to dynamical systems ⋮ Static controller synthesis for peak-to-peak gain minimization as an optimization problem ⋮ The multi-patch logistic equation

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