Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631773 | Applied Mathematics and Computation | 2010 | 21 Pages |
Abstract
The paper proves that Kogbetliantz method computes all singular values of a scaled diagonally dominant triangular matrix, which can be well scaled from both sides symmetrically, to high relative accuracy. Special attention is paid to deriving sharp accuracy bounds for one step, one batch and one sweep of the method. By a simple numerical test it is shown that the methods based on bidiagonalization are generally not accurate on that class of well-behaved matrices.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Matejaš, V. Hari,