Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509523 | Journal of Computational and Applied Mathematics | 2005 | 27 Pages |
Abstract
A transpose-free two-sided nonsymmetric Lanczos method is developed for multiple starting vectors on both the left and right. The method is mathematically equivalent to the two-sided methods without look-ahead or deflation steps, but avoids the use of the transpose of the system matrix. The method is applied to the computation of the matrix Padé approximation to a linear dynamical system. The result is a method which can be labeled transpose-free matrix Padé via Lanczos (TFMPVL). Under certain circumstances, TFMPVL will actually reduce the total number of matrix-vector products needed. It is illustrated with some numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Man-Chung Yeung, Daniel Boley,