Simple backward error bounds for linear least-squares problems

Author:

Gratton Serge,Jiránek Pavel,Titley-Peloquin David

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference21 articles.

1. Blendenpik: Supercharging LAPACK’s least-squares solver;Avron;SIAM J. Sci. Comput.,2010

2. Stopping criteria for the iterative solution of linear least squares problems;Chang;SIAM J. Matrix Anal. Appl.,2009

3. Extra-precise iterative refinement for overdetermined least squares problems;Demmel;ACM Trans. Math. Software,2009

4. Faster least squares approximation;Drineas;Numer. Math.,2011

5. D. Fong, Minimum-residual methods for sparse least-squares using Golub–Kahan bidiagonalization, Ph.D. thesis, Stanford University, 2011.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Testing multiple linear regression systems with metamorphic testing;Journal of Systems and Software;2021-12

2. Estimating the backward error for the least-squares problem with multiple right-hand sides;Linear Algebra and its Applications;2020-11

3. LSMB: Minimizing the Backward Error for Least-Squares Problems;SIAM Journal on Matrix Analysis and Applications;2018-01

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