On Block Jacobi Annihilators (CROSBI ID 549460)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Hari, Vjeran
engleski
On Block Jacobi Annihilators
The paper reveals the structure of the block Jacobi annihilator associated with one step of the general block Jacobi-type process of the form $\bA^{; ; ; ; (k+1)}; ; ; ; = [\bP^{; ; ; ; (k)}; ; ; ; ]^*\, \bA^{; ; ; ; (k)}; ; ; ; \, \bQ^{; ; ; ; (k)}; ; ; ; $, $k\geq 0$. Here $\bP^{; ; ; ; (k)}; ; ; ; $ and $\bQ^{; ; ; ; (k)}; ; ; ; $ are nonsingular elementary block-matrices which differ from the identity in four blocks: two diagonal and the two corresponding off-diagonal blocks. In the case of unitary $\bP^{; ; ; ; (k)}; ; ; ; $ and $\bQ^{; ; ; ; (k)}; ; ; ; $, the block Jacobi annihilator is up to a permutational similarity a direct sum of an identity matrix, of a zero matrix and of a unitary matrix. The block Jacobi annihilators are building blocks of the block Jacobi operators, which are used in proving the global convergence of block Jacobi-type processes.
eigenvalues ; singular value ; block Jacobi-type method ; global convergence
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Podaci o prilogu
429-439.
2009.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of ALGORITMY 2009
Handlovičová, A. ; Frolkovič, P. ; Mikula, K. ; Ševčovič, D.
Vysoké Tatry: Slovak University of Technology Press
978-80-227-3032-7
Podaci o skupu
18th Conference on Scientific Computing
predavanje
15.03.2009-20.03.2009
Vysoké Tatry, Slovačka