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Lookup NU author(s): Dr Kenneth Wright
This paper is concerned with finding a smooth singular value decomposition for a matrix which is smoothly dependent on a parameter. A previous approach to this problem was based on minimisation techniques, here, in contrast, a system of ordinary differential equations is derived for the decomposition. It is shown that the numerical solution of an initial value problem associated with these differential equations provides a feasible approach to the solution of this problem. Particular consideration is given to the situation which arises with equal modulus singular values which lead to indeterminacies in the evaluations needed for the numerical solution. Examples which illustrate the behaviour of the method are included.
Author(s): Wright K
Publication type: Article
Publication status: Published
Journal: Numerische Mathematik
Year: 1992
Volume: 63
Issue: 2
Pages: 283-295
Date deposited: 24/09/2010
ISSN (print): 0029-599X
ISSN (electronic): 0945-3245
Publisher: Springer
URL: http://dx.doi.org/10.1007/BF01385862
DOI: 10.1007/BF01385862
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