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Global GPBiCGstab(L) method for solving linear matrix equations

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Bibliographic Details
Main Authors: Itsuki, Horiuchi, Kensuke, Aihara, Toshio, Suzuki
Format: Book
Language:English
Published: Springer 2023
Subjects:
GPBiCGstab
LTPMs
Online Access:https://link.springer.com/article/10.1007/s11075-022-01415-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8301
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spelling oai:localhost:PNK-83012023-04-25T08:31:37Z Global GPBiCGstab(L) method for solving linear matrix equations Itsuki, Horiuchi Kensuke, Aihara Toshio, Suzuki GPBiCGstab LTPMs CC BY Global Krylov subspace methods are effective iterative solvers for large linear matrix equations. Several Lanczos-type product methods (LTPMs) for solving standard linear systems of equations have been extended to their global versions. However, the GPBiCGstab(L) method, which unifies two well-known LTPMs (i.e., BiCGstab(L) and GPBiCG methods), has been developed recently, and it has been shown that this novel method has superior convergence when compared to the conventional LTPMs. In the present study, we therefore extend the GPBiCGstab(L) method to its global version. Herein, we present not only a naive extension of the original GPBiCGstab(L) algorithm but also its alternative implementation. This variant enables the preconditioning technique to be applied stably and efficiently. Numerical experiments were performed, and the results demonstrate the effectiveness of the proposed global GPBiCGstab(L) method. 2023-04-25T08:31:37Z 2023-04-25T08:31:37Z 2023 Book https://link.springer.com/article/10.1007/s11075-022-01415-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8301 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic GPBiCGstab
LTPMs
spellingShingle GPBiCGstab
LTPMs
Itsuki, Horiuchi
Kensuke, Aihara
Toshio, Suzuki
Global GPBiCGstab(L) method for solving linear matrix equations
description CC BY
format Book
author Itsuki, Horiuchi
Kensuke, Aihara
Toshio, Suzuki
author_facet Itsuki, Horiuchi
Kensuke, Aihara
Toshio, Suzuki
author_sort Itsuki, Horiuchi
title Global GPBiCGstab(L) method for solving linear matrix equations
title_short Global GPBiCGstab(L) method for solving linear matrix equations
title_full Global GPBiCGstab(L) method for solving linear matrix equations
title_fullStr Global GPBiCGstab(L) method for solving linear matrix equations
title_full_unstemmed Global GPBiCGstab(L) method for solving linear matrix equations
title_sort global gpbicgstab(l) method for solving linear matrix equations
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11075-022-01415-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8301
_version_ 1764177439505776640
score 8.891145

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