An alternative limit expression of Drazin inverse and its application

DOI10.1016/0096-3003(94)90044-2zbMath0805.65041OpenAlexW2080590352MaRDI QIDQ1322895

Jun Ji

Publication date: 2 February 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90044-2

zbMATH Keywords

Drazin inversefinite algorithm

Mathematics Subject Classification ID

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

Related Items (9)

Interpolation algorithm for computing Drazin inverse of polynomial matrices ⋮ Three limit representations of the core-EP inverse ⋮ A finite algorithm for generalized inverses of polynomial and rational matrices ⋮ Unnamed Item ⋮ Computing generalized inverses of a rational matrix and applications ⋮ On the Generalized Drazin Inverse and Generalized Resolvent ⋮ An oblique projection iterative method to compute Drazin inverse and group inverse ⋮ Limit representations of generalized inverses and related methods ⋮ A finite algorithm for the Drazin inverse of a polynomial matrix

Cites Work

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• A new proof for Decell's finite algorithm for generalized inverses
• A finite algorithm for computing the weighted Moore-Penrose inverse \(A^ +_{MN}\)
• A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues
• A new extension of Leverrier's algorithm
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• Pseudo-Inverses in Associative Rings and Semigroups
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• Leverrier’s Algorithm: A New Proof and Extensions
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion

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