Inverting a Matrix Function around a Singularity via Local Rank Factorization

DOI10.1137/140999839zbMath1382.15004OpenAlexW2460770311MaRDI QIDQ2813337

Massimo Franchi, Paolo Paruolo

Publication date: 23 June 2016

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

Full work available at URL: https://semanticscholar.org/paper/66b186b9e97c1083f9e2442acd02a4e78940ca1e

zbMATH Keywords

matrix inversionanalytic perturbationJordan pairsLaurent series expansionmatrix valued functionslocal Smith form

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Local spectral properties of linear operators (47A11)

Related Items (10)

Some results on eigenvalues of finite type, resolvents and Riesz projections ⋮ The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra ⋮ COINTEGRATION AND REPRESENTATION OF COINTEGRATED AUTOREGRESSIVE PROCESSES IN BANACH SPACES ⋮ Fredholm inversion around a singularity: application to autoregressive time series in Banach space ⋮ Testing for cointegration in \(I(1)\) state space systems via a finite order approximation ⋮ INVERSION OF OPERATOR PENCILS ON HILBERT SPACE ⋮ Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces ⋮ REPRESENTATION OF I(1) AND I(2) AUTOREGRESSIVE HILBERTIAN PROCESSES ⋮ COINTEGRATION IN FUNCTIONAL AUTOREGRESSIVE PROCESSES ⋮ A general inversion theorem for cointegration

Uses Software

• Matlab

Cites Work

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