Global GPBiCGstab(L) method for solving linear matrix equations
CC BY
Lưu vào:
| Tác giả chính: | , , |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Nhà xuất bản: |
Springer
2023
|
| Chủ đề: | |
| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11075-022-01415-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8301 |
| Từ khóa: |
Thêm từ khóa
Không có từ khóa, Hãy là người đầu tiên đánh dấu biểu ghi này!
|
| id |
oai:localhost:PNK-8301 |
|---|---|
| record_format |
dspace |
| 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 |