On accuracy properties of one-sided bidiagonalization algorithm and its applications (CROSBI ID 505820)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bosner, Nela ; Drmač, Zlatko
engleski
On accuracy properties of one-sided bidiagonalization algorithm and its applications
The singular value decomposition (SVD) of a general matrix is the fundamental theoretical and computational tool in numerical linear algebra. The most efficient way to compute the SVD is to reduce the matrix to bidiagonal form in a finite number of orthogonal (unitary) transformations, and then to compute the bidiagonal SVD. This paper gives detailed error analysis and proposes modifications of recently proposed one-sided bidiagonalization procedure, suitable for parallel computing. It also demonstrates its application in solving two common problems in linear algebra.
SVD; bidiagonalization; accuracy; application
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Podaci o prilogu
141-150-x.
2005.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of the Conference on Applied Mathematics and Scientific Computing
Drmač, Zlatko ; Marušić, Miljenko ; Tutek, Zvonimir
Dordrecht: Springer
Podaci o skupu
Nepoznat skup
predavanje
29.02.1904-29.02.2096