Orthosymmetric Block Rotations (CROSBI ID 183109)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Singer, Sanja
engleski
Orthosymmetric Block Rotations
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 tree-like algorithms. As an illustration, a blocked version of the QR-like factorization of a given matrix is considered.
orthosymmetric unitary matrices; orthosymmetric block rotations; generalized polar decomposition; QR-like factorization; test matrix generation
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano