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Remarks on Kaczmarz Algorithm for Solving Consistent and Inconsistent System of Linear Equations

In this paper we consider the classical Kaczmarz algorithm for solving system of linear equations. Based on the geometric relationship between the error vector and rows of the coefficient matrix, we derive the optimal strategy of selecting rows at each step of the algorithm for solving consistent sy...

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Bibliografiske detaljer
Udgivet i:Computational Science – ICCS 2020
Main Authors: Huang, Xinyin, Liu, Gang, Niu, Qiang
Format: Artigo
Sprog:Inglês
Udgivet: 2020
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7302833/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/978-3-030-50417-5_17
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