Singer, Sanja (2012) Orthosymmetric block rotations. = Orthosymmetric block rotations. Electronic Journal of Linear Algebra, 23. pp. 306-326. ISSN 1081-3810. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. . .
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Abstract
Rotations are essential transformations in many parts of numerical linear algebra. In this paper, it is shown that there exists a family of matrices unitary with respect to an orthosymmetric scalar product J, that can be decomposed into the product of two J -unitary matrices-a block diagonal matrix and an orthosymmetric block rotation. This decomposition can be used for computing various one-sided and two-sided matrix transformations by divide-and-conquer or treelike algorithms. As an illustration, a blocked version of the QR-like factorization of a given matrix is considered.
| Item Type: | Article (["eprint_fieldopt_article_type_article" not defined]) |
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| Keywords (Croatian): | Generalized polar decomposition; Orthosymmetric block rotations; Orthosymmetric unitary matrices; QR-like factorization; Test matrix generation |
| Subjects: | NATURAL SCIENCES > Mathematics TECHNICAL SCIENCE |
| Divisions: | 1500 Chair of Mathematics |
| Indexed in Web of Science: | Yes |
| Indexed in Current Contents: | Yes |
| Citations JCR: | 0 (28.4.2015.) |
| Citations SCOPUS: | 0 (28.4.2015.) |
| Date Deposited: | 28 Apr 2015 09:08 |
| Last Modified: | 23 May 2017 11:20 |
| URI: | http://repozitorij.fsb.hr/id/eprint/3956 |
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