Optimal multilevel matrix algebra operators
We study the optimal Frobenius operator in a general matrix vector space and in particular in the multilevel trigonometric matrix vector spaces, by emphasizing both the algebraic and geometric properties. These general results are used to extend the Korovkin matrix theory for the approximation of bl...
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| Veröffentlicht in: | Linear & multilinear algebra 2000-10, Vol.48 (1), p.35-66 |
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| container_end_page | 66 |
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| container_title | Linear & multilinear algebra |
| container_volume | 48 |
| creator | Benedetto, Fabio di Capizzano, Stefano serra |
| description | We study the optimal Frobenius operator in a general matrix vector space and in particular in the multilevel trigonometric matrix vector spaces, by emphasizing both the algebraic and geometric properties. These general results are used to extend the Korovkin matrix theory for the approximation of block Toeplitz matrices via trigonometric vector spaces. The abstract theory is then applied to the analysis of the approximation properties of several sine and cosine based vector spaces. Few numerical experiments are performed to give evidence of the theoretical results. |
| doi_str_mv | 10.1080/03081080008818658 |
| format | Article |
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| identifier | ISSN: 0308-1087 |
| ispartof | Linear & multilinear algebra, 2000-10, Vol.48 (1), p.35-66 |
| issn | 0308-1087 1563-5139 |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_03081080008818658 |
| source | Taylor & Francis:Master (3349 titles) |
| subjects | Korovkin theorem Masking operators Matrix vector spaces and matrix algebras Toeplitz matrices |
| title | Optimal multilevel matrix algebra operators |
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