Inversion of regular analytic matrix functions: Local Smith form and subspace duality

DOI10.1016/j.laa.2011.05.005zbMath1232.15017OpenAlexW2068694700MaRDI QIDQ636250

Massimo Franchi, Paolo Paruolo

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.05.005

zbMATH Keywords

algorithmcanonical formsmatrix inversionSmith formmatrix functionsJordan chainsTaylor series expansionlocal rank factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) 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) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (5)

Some results on eigenvalues of finite type, resolvents and Riesz projections ⋮ Inverting a Matrix Function around a Singularity via Local Rank Factorization ⋮ Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces ⋮ REPRESENTATION OF I(1) AND I(2) AUTOREGRESSIVE HILBERTIAN PROCESSES ⋮ A general inversion theorem for cointegration

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