On the local theory of regular analytic matrix functions

DOI10.1016/0024-3795(93)90488-AzbMath0771.15008MaRDI QIDQ2365655

F. van Schagen, Israel Gohberg, Marinus A. Kaashoek

Publication date: 29 June 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

analytic matrix functionslocal spectral theorylocal Jordan forms

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (15)

An algorithm for computing Jordan chains and inverting analytic matrix functions ⋮ Some results on eigenvalues of finite type, resolvents and Riesz projections ⋮ A local construction of the Smith normal form of a matrix polynomial ⋮ The nonlinear eigenvalue problem ⋮ Analytic perturbation of generalized inverses ⋮ Inversion of regular analytic matrix functions: Local Smith form and subspace duality ⋮ Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems ⋮ Power-law solutions of anisotropic multi-material elasticity problems ⋮ Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series ⋮ Laurent series for inversion of linearly perturbed bounded linear operators on Banach space ⋮ Inverting a Matrix Function around a Singularity via Local Rank Factorization ⋮ Inversion of analytically perturbed linear operators that are singular at the origin ⋮ A general inversion theorem for cointegration ⋮ Characteristic matrix functions and periodic delay equations ⋮ An Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem

Cites Work

• Unnamed Item
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• Fast projection methods for minimal design problems in linear system theory
• Geometric state-space theory in linear multivariable control: A status report
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ

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