Naslov
On Block Jacobi Annihilators

Autori
Hari, Vjeran

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of ALGORITMY 2009 / Handlovičová, A. ; Frolkovič, P. ; Mikula, K. ; Ševčovič, D. - Vysoké Tatry : Slovak University of Technology Press, 2009, 429-439

ISBN
978-80-227-3032-7

Skup
18th Conference on Scientific Computing

Mjesto i datum
Vysoké Tatry, Slovačka, 15.03.2009. - 20.03.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
eigenvalues ; singular values ; block Jacobi-type method ; global convergence
(eigenvalues ; singular value ; block Jacobi-type method ; global convergence)

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA