An algorithm for coprime matrix fraction description using Sylvester matrices
Several algorithms for the computation of coprime matrix fraction descriptions have been proposed in the past. Here we explore some of the properties of Sylvester matrices and develop a different approach to the problem which is based on singular value decompositions and therefore avoids problems of...
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| Format: | Journal article |
| Language: | English |
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1997
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| _version_ | 1797091515753824256 |
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| author | Basilio, J Kouvaritakis, B |
| author_facet | Basilio, J Kouvaritakis, B |
| author_sort | Basilio, J |
| collection | OXFORD |
| description | Several algorithms for the computation of coprime matrix fraction descriptions have been proposed in the past. Here we explore some of the properties of Sylvester matrices and develop a different approach to the problem which is based on singular value decompositions and therefore avoids problems of numerical ill-conditioning. © 1997 Elsevier Science Inc. |
| first_indexed | 2024-03-07T03:34:15Z |
| format | Journal article |
| id | oxford-uuid:bbc26780-60ca-4df3-a9f4-50a643c96e21 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:34:15Z |
| publishDate | 1997 |
| record_format | dspace |
| spelling | oxford-uuid:bbc26780-60ca-4df3-a9f4-50a643c96e212022-03-27T05:19:16ZAn algorithm for coprime matrix fraction description using Sylvester matricesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bbc26780-60ca-4df3-a9f4-50a643c96e21EnglishSymplectic Elements at Oxford1997Basilio, JKouvaritakis, BSeveral algorithms for the computation of coprime matrix fraction descriptions have been proposed in the past. Here we explore some of the properties of Sylvester matrices and develop a different approach to the problem which is based on singular value decompositions and therefore avoids problems of numerical ill-conditioning. © 1997 Elsevier Science Inc. |
| spellingShingle | Basilio, J Kouvaritakis, B An algorithm for coprime matrix fraction description using Sylvester matrices |
| title | An algorithm for coprime matrix fraction description using Sylvester matrices |
| title_full | An algorithm for coprime matrix fraction description using Sylvester matrices |
| title_fullStr | An algorithm for coprime matrix fraction description using Sylvester matrices |
| title_full_unstemmed | An algorithm for coprime matrix fraction description using Sylvester matrices |
| title_short | An algorithm for coprime matrix fraction description using Sylvester matrices |
| title_sort | algorithm for coprime matrix fraction description using sylvester matrices |
| work_keys_str_mv | AT basilioj analgorithmforcoprimematrixfractiondescriptionusingsylvestermatrices AT kouvaritakisb analgorithmforcoprimematrixfractiondescriptionusingsylvestermatrices AT basilioj algorithmforcoprimematrixfractiondescriptionusingsylvestermatrices AT kouvaritakisb algorithmforcoprimematrixfractiondescriptionusingsylvestermatrices |