Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems

For solving inconsistent linear systems of equations iteratively, we further generalize the greedy randomized augmented Kaczmarz (GRAK) algorithm by introducing a nonzero parameter in the involved augmented linear system of the above inconsistent linear system, obtaining a class of accelerated greed...

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Bibliographic Details

Published in:	Applied numerical mathematics Vol. 195; pp. 142 - 156
Main Author:	Liu, Yong
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.01.2024
Subjects:	Augmented linear systems Convergence property Greedy randomized augmented Kaczmarz Inconsistent linear systems Randomized extended Kaczmarz Randomized extended Kaczmarz Augmented linear systems Greedy randomized augmented Kaczmarz Convergence property Inconsistent linear systems
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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