Perturbation bounds for the generalized inverses \(A_{T,S}^{(2)}\) with application to constrained linear system.
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Publication:1399718
DOI10.1016/S0096-3003(02)00284-9zbMath1059.15015MaRDI QIDQ1399718
Publication date: 30 July 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
condition numbergeneralized inverseperturbation boundconstrained linear systemsDrazin inversesMorse-Penrose inverse
Related Items (10)
Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation ⋮ Displacement structure of the generalized inverse \(A_{T,S}^{(2)}\) ⋮ A note on condition numbers for generalized inverse \(A^{(2)}_{T,S}\) and constrained linear systems ⋮ Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems ⋮ Perturbation bounds for the generalized inverse \(A^{(2)}_{T,S}\) with respect to the Frobenius norm ⋮ Perturbation Analysis for Oblique Projection Generalized Inverses ⋮ Solving EP singular linear systems ⋮ Condition number related with \(W\)-weighted Drazin inverse and singular linear systems ⋮ A note on the perturbation of an outer inverse ⋮ Condition number related to the outer inverse of a complex matrix
Cites Work
- The generalized Bott-Duffin inverse and its applications
- The error bound of the perturbation of the Drazin inverse
- 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
- Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
- (T,S) splitting methods for computing the generalized inverse and rectangular systems∗
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- A cramer rule for solution of the general restricted linear equation∗
- A Theory of Condition
- Perturbation theory for pseudo-inverses
- On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)
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