scientific article; zbMATH DE number 1424508

zbMath0943.65050MaRDI QIDQ4945755

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Publication date: 5 September 2000

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zbMATH Keywords

algorithmsstabilityconvergenceeigenvaluescondition numberautomatic result verificationHurwitz problemiterative refinementill-conditioned systemsscientific computationpseudoeigenvaluesspectral portraitFourier-Riccati matrix equationprograms with guaranteed accuracy

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ill-posedness and regularization problems in numerical linear algebra (65F22) Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear ordinary differential equations and systems (34A30) Algorithms with automatic result verification (65G20)

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ON CONDITIONS FOR EXPONENTIAL DICHOTOMY FOR SYSTEMS OF DIFFERENCE EQUATIONS UNDER PERTURBATION OF COEFFICIENTS ⋮ Sensitivity of Schur stability of monodromy matrix ⋮ Exponential dichotomy of systems of linear difference equations with periodic coefficients ⋮ Sensitivity of Hurwitz stability of linear differential equation systems with constant coefficients

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