Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
From MaRDI portal
Publication:1763293
DOI10.1016/j.amc.2003.12.119zbMath1064.15005OpenAlexW2065994271MaRDI QIDQ1763293
Publication date: 22 February 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.119
Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Conditioning of matrices (15A12)
Related Items (14)
A note on the perturbation bounds of W-weighted Drazin inverse ⋮ Condensed Cramer rule for solving restricted matrix equations ⋮ The representation and perturbation of the \(W\)-weighted Drazin inverse ⋮ Representations and properties of theW-Weighted Drazin inverse ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ Recurrent neural network for computing the \(W\)-weighted Drazin inverse ⋮ Comment on ``Condition number of \(W\)-weighted Drazin inverse and their condition numbers of singular linear systems ⋮ Additive results for the Wg-Drazin inverse ⋮ PCR algorithm for the parallel computation of the solution of a class of singular linear systems ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ Condition number of the \(W\)-weighted Drazin inverse ⋮ A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space ⋮ Minimum property of condition numbers for the Drazin inverse and singular linear equations ⋮ Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system
Cites Work
- Unnamed Item
- Unnamed Item
- On condition numbers and the distance to the nearest ill-posed problem
- A Cramer rule for finding the solution of a class of singular equations
- A Drazin inverse for rectangular matrices
- Condition numbers and their condition numbers
- A semi-iterative method for real spectrum singular linear systems with an arbitrary index
- Integral representation of the \(W\)-weighted Drazin inverse
- Perturbation bounds for the generalized inverses \(A_{T,S}^{(2)}\) with application to constrained linear system.
- Condition number of Bott-Duffin inverse and their condition numbers
- Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem.
- A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
This page was built for publication: Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
