Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471312 | Computers & Mathematics with Applications | 2014 | 10 Pages |
Abstract
In this paper, we consider computing the approximation of block bilinear form CHA−1BCHA−1B, where square matrix AA is large sparse, and BB and CC are rectangular matrices with the same size. We propose block conjugate gradient (CG) type methods for the approximation of CHA−1BCHA−1B, in which approximation XkXk of linear systems AX=BAX=B does not need to be computed explicitly and only the approximation ηkηk of CHA−1BCHA−1B, which is mathematically equivalent to CHXkCHXk, will be calculated instead. Numerical results show the effectiveness of our proposed methods.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Lei Du, Yasunori Futamura, Tetsuya Sakurai,