Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution
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Publication:854417
DOI10.1007/BF02896463zbMath1110.15008MaRDI QIDQ854417
Publication date: 4 December 2006
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
Related Items (3)
Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products ⋮ Normwise, mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equations ⋮ Condition numbers for the outer inverse and constrained singular linear system
Cites Work
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- Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem.
- Expression for the perturbation of the weighted Moore-Penrose inverse
- Perturbation identities for regularized Tikhonov inverses and weighted pseudo- inverses
- Perturbation bounds for constrained and weighted least squares problems
- Generalized inverses: theory and computations
- The representation and approximation for the weighted Moore-Penrose inverse
- The weighted Moore-Penrose inverse of modified matrices
- PCR algorithm for parallel computing minimum-norm \((T)\) least-squares \((S)\) solution of inconsistent linear equations
- Generalized inverses. Theory and applications.
- On the condition number of linear least squares problems in a weighted Frobenius norm
- Generalizing the Singular Value Decomposition
- Recurrent neural networks for computing weighted Moore-Penrose inverse
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