Perturbation bounds for least squares problems with equality constraints

DOI10.1006/jmaa.1998.6190zbMath0922.15012OpenAlexW2043934344MaRDI QIDQ1279955

Jiu Ding

Publication date: 8 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6190

zbMATH Keywords

perturbationerror boundsleast squares problems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

On the perturbation bounds of g-inverses and oblique projections ⋮ Equality constrained least squares problem over quaternion field ⋮ A new technique of quaternion equality constrained least squares problem ⋮ Condition numbers for the K-weighted pseudoinverse and their statistical estimation ⋮ Some new properties of the equality constrained and weighted least squares problem

Cites Work

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• On the error estimate for the projection of a point onto a linear manifold
• Perturbation of the least squares problem
• Algebraic properties of the rank-deficient equality-constrained and weighted least squares problems
• Perturbation analysis for the projection of a point to an affine set
• New perturbation results for equality-constrained least squares problems
• Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
• Towards a Generalized Singular Value Decomposition
• Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
• Generalizing the Singular Value Decomposition
• Perturbation Results for Projecting a Point onto a Linear Manifold

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