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Article: On inexact preconditioners for nonsymmetric matrices
| Title | On inexact preconditioners for nonsymmetric matrices |
|---|---|
| Authors | |
| Keywords | Minimal polynomial Preconditioners Block two-by-two matrices |
| Issue Date | 2005 |
| Citation | SIAM Journal on Scientific Computing, 2005, v. 26, n. 5, p. 1710-1724 How to Cite? |
| Abstract | Inexact versions of the block-triangular preconditioned for nonsymmetric matrices of block two-by-two structures in [M. F. Murphy, G. H. Golub, and A. J. Wathen, SIAM J. Sci. Comput, 21 (2000), pp. 1969-1972] and [I. C. F. Ipsen, SIAM J. Sci. Comput, 23 (2001), pp. 1050-1051] are presented, and the two preconditioners for symmetric block two-by-two matrices in [C. Durazzi and V. Ruggiero, Numer. Linear Algebra Appl., 10 (2003), pp. 673-688] are extended to general nonsymmetric matrices. Moreover, we precisely describe the spectral properties of the preconditioned matrices and the finite-step termination properties of the preconditioned Krylov subspace iteration methods with an optimal or Galerkin property, with respect to these preconditioners. Several numerical examples are performed to illustrate the effectiveness of the proposed preconditioners. © 2005 Society for Industrial and Applied Mathematics. |
| Persistent Identifier | http://hdl.handle.net/10722/276779 |
| ISSN | 2023 Impact Factor: 3.0 2023 SCImago Journal Rankings: 1.803 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bai, Zhong Zhi | - |
| dc.contributor.author | Ng, Michael K. | - |
| dc.date.accessioned | 2019-09-18T08:34:38Z | - |
| dc.date.available | 2019-09-18T08:34:38Z | - |
| dc.date.issued | 2005 | - |
| dc.identifier.citation | SIAM Journal on Scientific Computing, 2005, v. 26, n. 5, p. 1710-1724 | - |
| dc.identifier.issn | 1064-8275 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276779 | - |
| dc.description.abstract | Inexact versions of the block-triangular preconditioned for nonsymmetric matrices of block two-by-two structures in [M. F. Murphy, G. H. Golub, and A. J. Wathen, SIAM J. Sci. Comput, 21 (2000), pp. 1969-1972] and [I. C. F. Ipsen, SIAM J. Sci. Comput, 23 (2001), pp. 1050-1051] are presented, and the two preconditioners for symmetric block two-by-two matrices in [C. Durazzi and V. Ruggiero, Numer. Linear Algebra Appl., 10 (2003), pp. 673-688] are extended to general nonsymmetric matrices. Moreover, we precisely describe the spectral properties of the preconditioned matrices and the finite-step termination properties of the preconditioned Krylov subspace iteration methods with an optimal or Galerkin property, with respect to these preconditioners. Several numerical examples are performed to illustrate the effectiveness of the proposed preconditioners. © 2005 Society for Industrial and Applied Mathematics. | - |
| dc.language | eng | - |
| dc.relation.ispartof | SIAM Journal on Scientific Computing | - |
| dc.subject | Minimal polynomial | - |
| dc.subject | Preconditioners | - |
| dc.subject | Block two-by-two matrices | - |
| dc.title | On inexact preconditioners for nonsymmetric matrices | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1137/040604091 | - |
| dc.identifier.scopus | eid_2-s2.0-25444458272 | - |
| dc.identifier.volume | 26 | - |
| dc.identifier.issue | 5 | - |
| dc.identifier.spage | 1710 | - |
| dc.identifier.epage | 1724 | - |
| dc.identifier.isi | WOS:000229475200012 | - |
| dc.identifier.issnl | 1064-8275 | - |