A sign characteristic for selfadjoint meromorphic matrix functions

DOI10.1080/00036818308839467zbMath0494.15012OpenAlexW2058134732WikidataQ58263598 ScholiaQ58263598MaRDI QIDQ3957083

Peter Lancaster, Israel Gohberg, Leiba Rodman

Publication date: 1983

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818308839467

zbMATH Keywords

sign characteristicselfadjoint matrix polynomialsindefinite scalar product spacesself-adjoint meromorphic matrix functions

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items

Quadratic matrix polynomials with a parameter, Minimal symmetric factorizations of symmetric real and complex rational matrix functions, A Review of Canonical Forms for Selfadjoint Matrix Polynomials, A matricial boundary value problem which appears in the transport theory, Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations, Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Perturbation of analytic hermitian matrix functions, Similarity vs unitary similarity and perturbation analysis of sign characteristics: complex and real indefinite inner products, On symmetric factorizations of rational matrix functions

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