The representation and approximation for the weighted Moore-Penrose inverse
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Publication:1854987
DOI10.1016/S0096-3003(99)00275-1zbMath1024.15003MaRDI QIDQ1854987
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)
Related Items (27)
On the computation of weighted Moore-Penrose inverse using a high-order matrix method ⋮ Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution ⋮ Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited ⋮ Interval iterative methods for computing Moore-Penrose inverse ⋮ On integral representation of the generalized inverse \(A_{T,S}^{(2)}\). ⋮ A family of higher-order convergent iterative methods for computing the Moore-Penrose inverse ⋮ 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. ⋮ A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\) ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ Weighted Tikhonov filter matrices for ill-posed problems. ⋮ On a partial order defined by the weighted Moore-Penrose inverse ⋮ Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse ⋮ Acute perturbation bounds of weighted Moore–Penrose inverse ⋮ Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. positive definite weights ⋮ The representation and approximation for the weighted Minkowski inverse in Minkowski space ⋮ Recurrent neural networks for computing weighted Moore-Penrose inverse ⋮ Extension and generalization properties of the weighted Minkowski inverse in a Minkowski space for an arbitrary matrix ⋮ An efficient method to compute different types of generalized inverses based on linear transformation ⋮ An improved Newton iteration for the weighted Moore-Penrose inverse ⋮ A new method for computing Moore-Penrose inverse matrices ⋮ Displacement structure of weighted pseudoinverses ⋮ The weighted Moore-Penrose inverse of modified matrices ⋮ Triple reverse-order law for weighted generalized inverses ⋮ PCR algorithm for parallel computing minimum-norm \((T)\) least-squares \((S)\) solution of inconsistent linear equations ⋮ The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\) ⋮ The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space.
Cites Work
- A finite algorithm for computing the weighted Moore-Penrose inverse \(A^ +_{MN}\)
- Perturbation bound of singular linear systems
- Expression for the perturbation of the weighted Moore-Penrose inverse
- A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
- Generalizing the Singular Value Decomposition
- Inverse Order Rule for Weighted Generalized Inverse
- Iterative refinement of linear least squares solutions II
- Recurrent neural networks for computing weighted Moore-Penrose inverse
- Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
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