On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices
Block lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two pre...
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| Formato: | Journal article |
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2013
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| _version_ | 1826282501102895104 |
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| author | Pestana, J |
| author_facet | Pestana, J |
| author_sort | Pestana, J |
| collection | OXFORD |
| description | Block lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned systems are related. |
| first_indexed | 2024-03-07T00:44:48Z |
| format | Journal article |
| id | oxford-uuid:843d4b98-f7fa-46a3-9a6d-b785529a2e9c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:44:48Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:843d4b98-f7fa-46a3-9a6d-b785529a2e9c2022-03-26T21:49:56ZOn the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matricesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:843d4b98-f7fa-46a3-9a6d-b785529a2e9cMathematical Institute - ePrints2013Pestana, JBlock lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned systems are related. |
| spellingShingle | Pestana, J On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title | On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title_full | On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title_fullStr | On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title_full_unstemmed | On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title_short | On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| title_sort | on the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices |
| work_keys_str_mv | AT pestanaj ontheeigenvaluesandeigenvectorsofnonsymmetricsaddlepointmatricespreconditionedbyblocktriangularmatrices |