Singular value decomposition and least squares solutions

1970/04/01 by Gene H. Golub, G. H. Golub, C. Reinsch · 7 citations
Chemistry · Computer Science · Mathematics · #Algorithm #Applied mathematics #Chemistry #Decomposition #Least-squares function approximation #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Numerical analysis #Singular value decomposition #Statistics #Value (mathematics)

paper · doi:10.1007/bf02163027

crossref issued 1970/04/01 · crossref published 1970/04/01 · crossref published-print 1970/04/01 · openalex publication_date 1970/04/01 · crossref created 2005/09/16 · crossref deposited 2019/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04 · crossref indexed 2026/08/04

Citations

• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Inversion of Matrices by Biorthogonalization and Related Results
• On some algorithms for the solution of the complete eigenvalue problem
• Linear least squares solutions by householder transformations

Cited by

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• Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
• On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse
• Improvements to graph coloring register allocation
• Seismotectonics and relative plate motions in the Scotia Sea region
• Singular value decomposition [wikipedia]