A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD (CROSBI ID 178368)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bujanović, Zvonimir ; Drmač, Zlatko
engleski
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD
This article studies the convergence and practical implementation of the block version of the Kogbetliantz algorithm for computing the singular value decomposition (SVD) of general real or complex matrices. Global convergence is proved for the singular values and the singular vectors, including the asymptotically quadratic reduction to diagonal form. The convergence can be guaranteed for parallel block pivot strategies as well. This bridges a theoretical gap, and provides solid theoretical basis for parallel implementations of the block algorithm, and provides valuable insights.
Kogbetliantz method ; singular value decomposition ; convergence
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Podaci o izdanju
52 (4)
2012.
827-849
objavljeno
0006-3835
1572-9125
10.1007/s10543-012-0388-y