Householder triangularization of a quasimatrix
A standard algorithm for computing the QR factorization of a matrix A is Householder triangularization. Here this idea is generalized to the situation in which A is a quasimatrix, that is, a 'matrix' whose 'columns' are functions defined on an interval [a, b]. Applications are me...
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1826282956832899072 |
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| author | Trefethen, L |
| author_facet | Trefethen, L |
| author_sort | Trefethen, L |
| collection | OXFORD |
| description | A standard algorithm for computing the QR factorization of a matrix A is Householder triangularization. Here this idea is generalized to the situation in which A is a quasimatrix, that is, a 'matrix' whose 'columns' are functions defined on an interval [a, b]. Applications are mentioned to quasimatrix least squares fitting, singular value decomposition and determination of ranks, norms and condition numbers, and numerical illustrations are presented using the chebfun system. © 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. |
| first_indexed | 2024-03-07T00:51:40Z |
| format | Journal article |
| id | oxford-uuid:869cd52b-7e62-4305-bddb-1d3809ba4cad |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:51:40Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:869cd52b-7e62-4305-bddb-1d3809ba4cad2022-03-26T22:05:05ZHouseholder triangularization of a quasimatrixJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:869cd52b-7e62-4305-bddb-1d3809ba4cadEnglishSymplectic Elements at Oxford2010Trefethen, LA standard algorithm for computing the QR factorization of a matrix A is Householder triangularization. Here this idea is generalized to the situation in which A is a quasimatrix, that is, a 'matrix' whose 'columns' are functions defined on an interval [a, b]. Applications are mentioned to quasimatrix least squares fitting, singular value decomposition and determination of ranks, norms and condition numbers, and numerical illustrations are presented using the chebfun system. © 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. |
| spellingShingle | Trefethen, L Householder triangularization of a quasimatrix |
| title | Householder triangularization of a quasimatrix |
| title_full | Householder triangularization of a quasimatrix |
| title_fullStr | Householder triangularization of a quasimatrix |
| title_full_unstemmed | Householder triangularization of a quasimatrix |
| title_short | Householder triangularization of a quasimatrix |
| title_sort | householder triangularization of a quasimatrix |
| work_keys_str_mv | AT trefethenl householdertriangularizationofaquasimatrix |