[2303.12473] Accelerating iterative solvers via a two-dimensional minimum residual technique
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Mathematics > Numerical Analysis

arXiv:2303.12473 (math)
[Submitted on 22 Mar 2023 (v1), last revised 22 Apr 2024 (this version, v3)]

Title:Accelerating iterative solvers via a two-dimensional minimum residual technique

Authors:Fatemeh P. A. Beik, Michele Benzi, Mehdi Najafi-Kalyani
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Abstract:This paper deals with speeding up the convergence of a class of two-step iterative methods for solving linear systems of equations. To implement the acceleration technique, the residual norm associated with computed approximations for each sub-iterate is minimized over a certain two-dimensional subspace. Convergence properties of the proposed method are studied in detail. The approach is further developed to solve (regularized) normal equations arising from the discretization of ill-posed problems. The results of numerical experiments are reported to illustrate the performance of exact and inexact variants of the method on several test problems from different application areas.
Subjects: Numerical Analysis (math.NA)
MSC classes: 65F10
Cite as: arXiv:2303.12473 [math.NA]
  (or arXiv:2303.12473v3 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2303.12473

Submission history

From: Fatemeh Panjeh Ali Beik [view email]
[v1] Wed, 22 Mar 2023 11:33:41 UTC (844 KB)
[v2] Sat, 26 Aug 2023 09:44:53 UTC (2,495 KB)
[v3] Mon, 22 Apr 2024 21:15:11 UTC (31 KB)
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