Recently an efficient method (DACG) for the partial solution of the symmetric generalized eigenproblem Ax = ฮปBx has been developed, based on the conjugate gradient (CG) minimization of the Rayleigh quotient over successive deflated subspaces of decreasing size. The present paper provides a numerical
Some conjugate gradient methods for symmetric and nonsymmetric systems
โ Scribed by Prakhya, K. V. G.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1988
- Tongue
- English
- Weight
- 391 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0748-8025
No coin nor oath required. For personal study only.
โฆ Synopsis
The performance of Stiefel's conjugate gradient (CG) method and a reformulated three-parameter C G are compared for structural analysis problems having varying condition numbers. It has been found that diagonal preconditioning in the three-parameter C G method is efficient when high condition numbers are encountered.
๐ SIMILAR VOLUMES
In this paper, a detailed description of CG for evaluating eigenvalue problems by minimizing the Rayleigh quotient is presented from both theoretical and computational viewpoints. Three variants of CG together with their asymptotic behaviours and restarted schemes are discussed. In addition, it is s