Error Analysis of Some Techniques for Updating Orthogonal Decompositions

DOI10.2307/2006096zbMath0422.65027OpenAlexW4256440143MaRDI QIDQ3856051

Christopher C. Paige

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2006096

zbMATH Keywords

error analysisorthogonal transformationrounding error analysisupdating orthogonal decompositions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Roundoff error (65G50) Orthogonalization in numerical linear algebra (65F25)

Related Items

A perturbation analysis of the problem of downdating a Cholesky factorization ⋮ A modification to the LINPACK downdating algorithm ⋮ Accurate downdating of a modified Gram-Schmidt QR decomposition ⋮ Perturbation and error analyses for block downdating of a Cholesky decomposition

Cites Work

• Computer Solution and Perturbation Analysis of Generalized Linear Least Squares Problems
• Methods for Modifying Matrix Factorizations
• Unnamed Item
• Unnamed Item