Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations
In this paper, we equip Cn with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we design the indefinite structures of these block K...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/2439801 |
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| author | M. Ghasemi Kamalvand K. Niazi Asil |
| author_facet | M. Ghasemi Kamalvand K. Niazi Asil |
| author_sort | M. Ghasemi Kamalvand |
| collection | DOAJ |
| description | In this paper, we equip Cn with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we design the indefinite structures of these block Krylov methods; along with some obtained results, we offer the application of this methods in solving linear systems, and as the testifiers, we design numerical examples. |
| format | Article |
| id | doaj-art-7fbe81dd4b0143ca88440d29a1df67cf |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7fbe81dd4b0143ca88440d29a1df67cf2025-02-03T05:53:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/24398012439801Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear EquationsM. Ghasemi Kamalvand0K. Niazi Asil1Department of Mathematics, Lorestan University, Khorramabad, IranDepartment of Mathematics, Lorestan University, Khorramabad, IranIn this paper, we equip Cn with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we design the indefinite structures of these block Krylov methods; along with some obtained results, we offer the application of this methods in solving linear systems, and as the testifiers, we design numerical examples.http://dx.doi.org/10.1155/2020/2439801 |
| spellingShingle | M. Ghasemi Kamalvand K. Niazi Asil Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations Advances in Mathematical Physics |
| title | Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations |
| title_full | Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations |
| title_fullStr | Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations |
| title_full_unstemmed | Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations |
| title_short | Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations |
| title_sort | indefinite ruhe s variant of the block lanczos method for solving the systems of linear equations |
| url | http://dx.doi.org/10.1155/2020/2439801 |
| work_keys_str_mv | AT mghasemikamalvand indefiniteruhesvariantoftheblocklanczosmethodforsolvingthesystemsoflinearequations AT kniaziasil indefiniteruhesvariantoftheblocklanczosmethodforsolvingthesystemsoflinearequations |