Structured perturbations of group inverse and singular linear system with index one

DOI10.1016/j.cam.2004.02.023zbMath1066.15001OpenAlexW2075775164MaRDI QIDQ704176

Yi-Min Wei, Huai-An Diao

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.023

zbMATH Keywords

Toeplitz matrixcirculant matrixgroup inversestructured perturbationsingular linear system with index one

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Conditioning of matrices (15A12)

Related Items (14)

An iterative method for solving singular linear systems with index one ⋮ Structured mixed and componentwise condition numbers of some structured matrices ⋮ The dual index and dual core generalized inverse ⋮ Perturbation bounds for the group inverse and its oblique projection ⋮ Explicit group inverse of an innovative patterned matrix ⋮ The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices ⋮ Structured perturbations of Drazin inverse ⋮ Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers ⋮ On group inverse of singular Toeplitz matrices ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ Quotient convergence and multi-splitting methods for solving singular linear equations ⋮ Condition number related to the outer inverse of a complex matrix ⋮ The perturbation bounds for the solution of weighted Kronecker product linear systems using the \(W\)-weighted Drazin inverse ⋮ Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system

Uses Software

• mctoolbox

Cites Work

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• On the solution of singular linear systems of algebraic equations by semiiterative methods
• Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks
• Index splitting for the Drazin inverse and the singular linear system
• On the perturbation of the group inverse and oblique projection
• Condition numbers and their condition numbers
• The perturbation theory for the Drazin inverse and its applications
• Applications of Paz's inequality to perturbation bounds for Markov chains
• Condition number of Drazin inverse and their condition numbers of singular linear systems.
• Generalized inverses. Theory and applications.
• Displacement rank of the Drazin inverse
• Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
• A note on the scaled total least squares problem
• Displacement structure of group inverses
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• Structured Perturbations Part I: Normwise Distances
• Structured Perturbations Part II: Componentwise Distances
• Perturbation analysis of singular linear systems with index one^∗
• A Characterization and Representation of the Drazin Inverse
• Accuracy and Stability of Numerical Algorithms
• On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling
• An improvement on the perturbation of the group inverse and oblique projection

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