Perturbation theory for the Eckart-Young-Mirsky theorem and the constrained total least squares problem

DOI10.1016/S0024-3795(98)10018-6zbMath0936.65049WikidataQ127220108 ScholiaQ127220108MaRDI QIDQ1808940

Musheng Wei

Publication date: 22 May 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryconstrained total least squares problemEckart-Young-Mirsky theorem

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (12)

Consistent estimation for an errors-in-variables model based on constrained total least squares problems ⋮ Some equivalent conditions for block two-by-two matrices to be nonsingular ⋮ On the perturbation bounds of g-inverses and oblique projections ⋮ On least squares solutions subject to a rank restriction ⋮ Rank constrained matrix best approximation problem ⋮ Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables ⋮ On nonsingularity of block two-by-two matrices ⋮ On extremal ranks and least squares solutions subject to a rank restriction ⋮ Nearest southeast submatrix that makes multiple a prescribed eigenvalue. ⋮ Perturbation analysis for best approximation and the polar factor by subunitary matrices ⋮ On perturbations of some constrained subspaces ⋮ Geometric multiplicity margin for a submatrix

Uses Software

• VanHuffel

Cites Work

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• The Restricted Singular Value Decomposition of Matrix Triplets
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• Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
• Towards a Generalized Singular Value Decomposition
• The Analysis for the Total Least Squares Problem with More Than One Solution
• Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
• Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to Error
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• Perturbation bounds in connection with singular value decomposition
• Perturbation theory for pseudo-inverses

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