File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1007/s00211-003-0454-0
- Scopus: eid_2-s2.0-0742323828
- WOS: WOS:000186830100001
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems
Title | Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems |
---|---|
Authors | |
Issue Date | 2003 |
Citation | Numerische Mathematik, 2003, v. 96, n. 2, p. 197-220 How to Cite? |
Abstract | We consider the system of linear equations Lu = f, where L is a nonsymmetric block Toeplitz-like-plus-diagonal matrix, which arises from the Sinc-Galerkin discretization of differential equations. Our main contribution is to construct effective preconditioners for this structured coefficient matrix and to derive tight bounds for eigenvalues of the preconditioned matrices. Moreover, we use numerical examples to show that the new preconditioners, when applied to the preconditioned GMRES method, are efficient for solving the system of linear equations. |
Persistent Identifier | http://hdl.handle.net/10722/276743 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.855 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bai, Zhong Zhi | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:31Z | - |
dc.date.available | 2019-09-18T08:34:31Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Numerische Mathematik, 2003, v. 96, n. 2, p. 197-220 | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10722/276743 | - |
dc.description.abstract | We consider the system of linear equations Lu = f, where L is a nonsymmetric block Toeplitz-like-plus-diagonal matrix, which arises from the Sinc-Galerkin discretization of differential equations. Our main contribution is to construct effective preconditioners for this structured coefficient matrix and to derive tight bounds for eigenvalues of the preconditioned matrices. Moreover, we use numerical examples to show that the new preconditioners, when applied to the preconditioned GMRES method, are efficient for solving the system of linear equations. | - |
dc.language | eng | - |
dc.relation.ispartof | Numerische Mathematik | - |
dc.title | Preconditioners for nonsymmetric block toeplitz-like-plus-diagonal linear systems | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00211-003-0454-0 | - |
dc.identifier.scopus | eid_2-s2.0-0742323828 | - |
dc.identifier.volume | 96 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 197 | - |
dc.identifier.epage | 220 | - |
dc.identifier.isi | WOS:000186830100001 | - |
dc.identifier.issnl | 0029-599X | - |