The algorithm for computing the Drazin inverses of two-variable polynomial matrices

DOI10.1016/S0096-3003(02)00814-7zbMath1038.65035OpenAlexW2134964961MaRDI QIDQ1412645

Fanbin Bu, Yi-Min Wei

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00814-7

zbMATH Keywords

algorithmnumerical examplespolynomial matricesDrazin inverses

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (14)

Gröbner basis computation of Drazin inverses with multivariate rational function entries ⋮ Symbolic computation of weighted Moore-Penrose inverse using partitioning method ⋮ Interpolation algorithm of Leverrier-Faddev type for polynomial matrices ⋮ Extensions of Faddeev's algorithms to polynomial matrices ⋮ Interpolation algorithm for computing Drazin inverse of polynomial matrices ⋮ Effective partitioning method for computing weighted Moore-Penrose inverse ⋮ Symbolic and recursive computation of different types of generalized inverses ⋮ Representations of generalized inverses via full-rank QDR decomposition ⋮ Computing generalized inverses using LU factorization of matrix product ⋮ Computing generalized inverses of a rational matrix and applications ⋮ Symbolic computation of the Moore–Penrose inverse using a partitioning method ⋮ Invariant subspaces, derivative arrays, and the computation of the Drazin inverse ⋮ Symbolic computation of Drazin inverses by specializations ⋮ An oblique projection iterative method to compute Drazin inverse and group inverse

Uses Software

• Matlab

Cites Work

• Unnamed Item
• A Cramer rule for finding the solution of a class of singular equations
• Index splitting for the Drazin inverse and the singular linear system
• Generalized inverses of two-variable polynomial matrices and applications
• A finite algorithm for the Drazin inverse of a polynomial matrix
• Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• Additional results on index splittings for Drazin inverse solutions of singular linear systems
• Leverrier's algorithm for singular systems
• Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion
• ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
• The representation and approximation for Drazin inverse

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