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- Publisher Website: 10.1002/nla.419
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Article: The eigenvalues of preconditioned matrices for linear multistep formulas in boundary value form
| Title | The eigenvalues of preconditioned matrices for linear multistep formulas in boundary value form |
|---|---|
| Authors | |
| Keywords | Circulant matrices Eigenvalues Non-symmetric Toeplitz matrices Linear multistep formulas in bv form |
| Issue Date | 2005 |
| Citation | Numerical Linear Algebra with Applications, 2005, v. 12, n. 2-3, p. 315-325 How to Cite? |
| Abstract | The application of linear multistep formulas in boundary value form for the solutions of initial and boundary value problems requires the solutions of linear systems of which the coefficient matrices are large and sparse block-Toeplitz-like matrices. Block-circulant preconditioners applied to these linear systems are examined. Analytical formulas for the eigenvalues of these preconditioned matrices are derived. The eigenvalues are also predicted by an asymptotic analysis. © 2004 John Wiley & Sons, Ltd. |
| Persistent Identifier | http://hdl.handle.net/10722/276753 |
| ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.932 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bertaccini, Daniele | - |
| dc.contributor.author | Wen, Youwei | - |
| dc.contributor.author | Ng, Michael K. | - |
| dc.date.accessioned | 2019-09-18T08:34:33Z | - |
| dc.date.available | 2019-09-18T08:34:33Z | - |
| dc.date.issued | 2005 | - |
| dc.identifier.citation | Numerical Linear Algebra with Applications, 2005, v. 12, n. 2-3, p. 315-325 | - |
| dc.identifier.issn | 1070-5325 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276753 | - |
| dc.description.abstract | The application of linear multistep formulas in boundary value form for the solutions of initial and boundary value problems requires the solutions of linear systems of which the coefficient matrices are large and sparse block-Toeplitz-like matrices. Block-circulant preconditioners applied to these linear systems are examined. Analytical formulas for the eigenvalues of these preconditioned matrices are derived. The eigenvalues are also predicted by an asymptotic analysis. © 2004 John Wiley & Sons, Ltd. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Numerical Linear Algebra with Applications | - |
| dc.subject | Circulant matrices | - |
| dc.subject | Eigenvalues | - |
| dc.subject | Non-symmetric Toeplitz matrices | - |
| dc.subject | Linear multistep formulas in bv form | - |
| dc.title | The eigenvalues of preconditioned matrices for linear multistep formulas in boundary value form | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1002/nla.419 | - |
| dc.identifier.scopus | eid_2-s2.0-20744441827 | - |
| dc.identifier.volume | 12 | - |
| dc.identifier.issue | 2-3 | - |
| dc.identifier.spage | 315 | - |
| dc.identifier.epage | 325 | - |
| dc.identifier.isi | WOS:000228112200025 | - |
| dc.identifier.issnl | 1070-5325 | - |