Expression for the perturbation of the weighted Moore-Penrose inverse
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Publication:1570149
DOI10.1016/S0898-1221(00)00041-9zbMath0957.15003MaRDI QIDQ1570149
Publication date: 9 July 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Related Items (23)
The weighted generalized inverses of a partitioned matrix ⋮ Relative errors versus residuals of approximate solutions of weighted least squares problems in Hilbert space ⋮ Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems ⋮ Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution ⋮ Interval iterative methods for computing Moore-Penrose inverse ⋮ Additive and multiplicative perturbation bounds for the Moore-Penrose inverse ⋮ Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices ⋮ Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem. ⋮ A note on the sensitivity of the solution of the weighted linear least squares problem. ⋮ Weighted Tikhonov filter matrices for ill-posed problems. ⋮ Acute perturbation bounds of weighted Moore–Penrose inverse ⋮ An improved Newton iteration for the weighted Moore-Penrose inverse ⋮ Condition numbers for structured least squares problems ⋮ A note on the perturbation of an outer inverse ⋮ Perturbation for a pair of oblique projectors \(AA_{MN}^\dagger \) and \(BB_{MN}^\dagger\) ⋮ Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data ⋮ Convergence of Rump’s method for computing the Moore-Penrose inverse ⋮ Displacement structure of weighted pseudoinverses ⋮ The representation and approximation for the weighted Moore-Penrose inverse ⋮ Bounds for perturbed solutions of linear operator equations in Hilbert space. ⋮ PCR algorithm for parallel computing minimum-norm \((T)\) least-squares \((S)\) solution of inconsistent linear equations ⋮ The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space. ⋮ Perturbation bounds for constrained and weighted least squares problems
Cites Work
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- The rank of a difference of matrices and associated generalized inverses
- Results on the relative perturbation of the singular values of a matrix
- Perturbation bound of singular linear systems
- An Extension of the Matrix Inversion Lemma
- Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
- Generalizing the Singular Value Decomposition
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- Inverse Order Rule for Weighted Generalized Inverse
- Representations for the Generalized Inverse of Sums of Matrices
- On Error Bounds for Generalized Inverses
- Generalized Inversion of Modified Matrices
- Perturbation theory for pseudo-inverses
- Recurrent neural networks for computing weighted Moore-Penrose inverse
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