## Abstract This paper is concerned with proving theoretical results related to the convergence of the conjugate gradient (CG) method for solving positive definite symmetric linear systems. Considering the inverse of the projection of the inverse of the matrix, new relations for ratios of the __A__
On the use of deflation to improve the convergence of conjugate gradient iteration
β Scribed by Mansfield, Lois
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1988
- Tongue
- English
- Weight
- 332 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0748-8025
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π SIMILAR VOLUMES
Recently an efficient method (DACG) for the partial solution of the symmetric generalized eigenproblem Ax = Ξ»Bx 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
In multiprocessor systems, iterative algorithms can be implemented synchronously or asynchronously. Unfortunately, few guidelines exist to make a choice. In this paper, we compare the execution times of an asynchronous iterative algorithm and of its synchronous counterpart. Synchronization overhead
## Abstract The reasons which sometimes cause failure of convergence in the iteration of NMR spectra by LAOCOON 3 are discussed. The problem can be avoided by retaining the sequence of the eigenfunctions throughout the iterative process. In addition, assignment of the lines to start the iterative a