Perturbations of H-selfadjoint matrices, with applications to differential equations

DOI10.1007/BF01694061zbMath0511.15010OpenAlexW2019813895MaRDI QIDQ1839017

Leiba Rodman, Israel Gohberg, Peter Lancaster

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01694061

zbMATH Keywords

selfadjoint operatorsJordan formunitary operatorsbounded solutionsindefinite scalar productperturbation theoremH- selfadjointH-unitarystably bounded solutions

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Linear operators on spaces with an indefinite metric (47B50)

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• Spectral analysis of selfadjoint matrix polynomials
• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• The stability of linear, real, periodic self-adjoint systems of differential equations
• On the stability of linear canonical systems with periodic coefficients
• On the Theory of Automorphic Functions of a Matrix Variable, II-The Classification of Hypercircles Under the Symplectic Group