Orthosymmetric block rotations

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]. . .

Dummy article.pdf - Draft Version Jezik dokumenta:English

Download (79kB) | Preview
Official URL: http://www.scopus.com/inward/record.url?eid=2-s2.0...


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])
Keywords (Croatian): Generalized polar decomposition; Orthosymmetric block rotations; Orthosymmetric unitary matrices; QR-like factorization; Test matrix generation
Subjects: NATURAL SCIENCES > Mathematics
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

Actions (login required)

View Item View Item


Downloads per month over past year

Nema podataka za dohvacanje citata