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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

Bujanović, Zvonimir ; Drmač, Zlatko A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD // BIT numerical mathematics, 52 (2012), 4; 827-849. doi: 10.1007/s10543-012-0388-y

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

Povezanost rada

Matematika

Poveznice
Indeksiranost