Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642885 | Journal of Computational and Applied Mathematics | 2007 | 7 Pages |
Abstract
A number of experiments are performed with the aim of enhancing a particular feature arising when biorthogonal sequences are used for the purpose of orthogonalization. It is shown that an orthogonalization process executed by biorthogonal sequences and followed by a re-orthogonalization step admits four numerically different realizations. The four possibilities are originated by the fact that, although an orthogonal projector is by definition a self-adjoint operator, due to numerical errors in finite precision arithmetic the biorthogonal representation does not fulfil such a property. In the experiments presented here one of the realizations is shown clearly numerically superior to the remaining three.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Miroslav Andrle, Laura Rebollo-Neira,