Toward efficient implementations of PCCG (preconditioned conjugate gradient) methods on vector supercomputers. Technical report
Large, sparse linear systems that result from the discretization of partial differential equations on regular and irregular domains are considered, and focus is on application of the preconditioned conjugate gradient (PCCG) method to the solution of such systems. More specifically, the goal of this paper is the efficient implementation of the PCCG method on vector supercomputers. The contribution to the above goal is made by 1) introduction of a data structure that way be effectively manipulated on vector machines, 2) utilization of preconditioning matrices which are obtained by incomplete factorization with diagonal update sets, and 3) introduction of new numbering schemes for both regular and irregular grids.
- Research Organization:
- Pittsburgh Univ., PA (USA). Inst. for Computational Mathematics and Applications
- OSTI ID:
- 6832490
- Report Number(s):
- AD-A-173730/3/XAB; ICMA-86-101
- Country of Publication:
- United States
- Language:
- English
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