Restoring rank and consistency by orthogonal projection

DOI10.1016/0024-3795(79)90138-1zbMath0494.65017OpenAlexW1978509016MaRDI QIDQ1169252

A. van der Sluis, Gerhard Veltkamp

Publication date: 1979

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/24886

zbMATH Keywords

Frobenius normgeneralized inverseorthogonal projectionsleast squares solutionsinconsistent systems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Orthogonalization in numerical linear algebra (65F25)

Related Items (1)

Perturbation theory for orthogonal projection methods with applications to least squares and total least squares

Cites Work

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• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• Some Modified Matrix Eigenvalue Problems
• Perturbation theory for pseudo-inverses

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