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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. Previous approaches to this problem have used algebraic minimisation techniques and explicit Runge-Kutta solution of differential equations satisfied by the ASVD. Here the explicit method is reviewed and alternative methods based on implicit Gauss point collocation are considered. Special properties of this approach which make it particularly attractive are described, and the idea of stabilization of the equations is introduced. Examples are given which illustrate some of the alternatives implemented in fixed step mode.
Author(s): Wright K
Publication type: Report
Publication status: Published
Series Title: Department of Computing Science Technical Report Series
Year: 1992
Pages: 18
Print publication date: 01/10/1992
Source Publication Date: October 1992
Report Number: 405
Institution: Department of Computing Science, University of Newcastle upon Tyne
Place Published: Newcastle upon Tyne
URL: http://www.cs.ncl.ac.uk/publications/trs/papers/405.pdf