2003 | OriginalPaper | Buchkapitel
Quadratic Convergence of Scaled Iterates by Kogbetliantz Method
verfasst von : Vjeran Hari, Josip Matejaš
Erschienen in: Inclusion Methods for Nonlinear Problems
Verlag: Springer Vienna
Enthalten in: Professional Book Archive
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A sharp quadratic convergence bound of scaled iterates for the serial Kogbetliantz method is derived. Iterates are symmetrically scaled by diagonal matrices so that diagonal elements are ones. The result is obtained for a scaled diagonally dominant complex triangular matrix with multiple singular values. The estimate depends on the relative separation of the singular values.