On the structure of closeness estimates for pseudosolutions of initial and perturbed systems of linear algebraic equations

DOI10.1134/S0965542519090069zbMath1428.15002OpenAlexW2980321764WikidataQ127031407 ScholiaQ127031407MaRDI QIDQ2284248

V. N. Babenko

Publication date: 14 January 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519090069

zbMATH Keywords

singular value decompositionpseudoinverse matrixorthoprojectorcondition number of matrixkernel/image of matrixsolution of subspacessubspace dimension

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (1)

On the closeness of the incompatibility criteria for the original and perturbed systems of equations

Cites Work

• Regression and the Moore-Penrose pseudoinverse
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