Note on the iterative refinement of least squares solution

DOI10.1007/BF02166032zbMath0156.16106MaRDI QIDQ2526676

Gene H. Golub, J. H. Wilkinson

Publication date: 1966

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131734

zbMATH Keywords

numerical analysis

Related Items

A new algorithm for nonlinear least squares, Solution of augmented linear systems using orthogonal factorizations, Solving linear least squares problems by Gram-Schmidt orthogonalization, Stability analysis of a general Toeplitz system solver, Note on a splitting approach to ill-conditioned least squares problems, Computer Solution and Perturbation Analysis of Generalized Linear Least Squares Problems, Gram-Schmidt orthogonalization: 100 years and more, Test procedures and test problems for least squares algorithms, Experiments on Error Growth Associated with Some Linear Least-Squares Procedures, A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions, Simultaneous equations estimation. Computational aspects, Computational methods of linear algebra, Exact QR factorizations of rectangular matrices, Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems, Perturbation theory for pseudo-inverses, Extensions to the modified Gram–Schmidt strategy and its application in the steepest ascent method, A method for least squares solution of systems with a cyclic rectangular coefficient matrix, A posteriori-Fehlerabschätzungen für die Pseudoinverse und die Lösung minimaler Länge, Stability of the solutions of linear least squares problems, On the solution of the linear least squares problems and pseudo-inverses, Optimally Conditioned Vandermonde-Like Matrices, Arnoldi-Tikhonov regularization methods, Stability of general systems of linear equations, Data-driven operator inference for nonintrusive projection-based model reduction, On a companion operator for analytic functions, On a companion operator for analytic functions, A direct error analysis for least squares, Stability analysis of the method of seminormal equations for linear least squares problems, Improvement of the resolution of an instrument by numerical solution of an integral equation, Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems, Unnamed Item, One-Step Estimation with Scaled Proximal Methods, Iterative refinement of linear least squares solutions I

Cites Work

• Unnamed Item
• Numerical methods for solving linear least squares problems
• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Solution of real and complex systems of linear equations
• Unitary Triangularization of a Nonsymmetric Matrix