Perturbation of the least squares problem
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Publication:922606
DOI10.1016/0024-3795(90)90316-5zbMath0711.15005OpenAlexW2087090392MaRDI QIDQ922606
Publication date: 1990
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(90)90316-5
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)
Related Items (14)
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise ⋮ On the perturbation of the least squares solutions in Hilbert spaces ⋮ On the continuity of generalized inverses of linear operators in Hilbert spaces. ⋮ New perturbation results for equality-constrained least squares problems ⋮ On the perturbation bounds of g-inverses and oblique projections ⋮ Perturbation bounds of generalized inverses ⋮ Algebraic relations between the total least squares and least squares problems with more than one solution ⋮ Lower and upper bounds in the perturbation of general linear algebraic equations ⋮ Perturbation analysis for the matrix least squares problem \(A X B = C\) ⋮ Perturbation for a pair of oblique projectors \(AA_{MN}^\dagger \) and \(BB_{MN}^\dagger\) ⋮ Perturbation theory for the Eckart-Young-Mirsky theorem and the constrained total least squares problem ⋮ Perturbation bounds for least squares problems with equality constraints ⋮ Perturbation of systems of linear algebraic equations∗ ⋮ On the perturbation of least squares problems with equality constraints
Cites Work
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- Rang revealing QR factorizations
- The perturbation of consistent least squares problems
- Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
- Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
- Perturbation theory for pseudo-inverses
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