Analytic perturbation of generalized inverses

DOI10.1016/j.laa.2011.10.037zbMath1347.15006OpenAlexW1980139929MaRDI QIDQ1940329

Jean-Bernard Lasserre, Konstantin E. Avrachenkov

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.037

zbMATH Keywords

algorithmspectral theorygroup inverseLaurent seriesMoore-Penrose generalized inverseDrazin generalized inverseregular and singular analytic perturbations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

Laurent series based RBF-FD method to avoid ill-conditioning ⋮ Fast calculation of Laurent expansions for matrix inverses ⋮ The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ Complex Neural Network Models for Time-Varying Drazin Inverse ⋮ Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse ⋮ Laurent expansion of the inverse of perturbed, singular matrices

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