Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 4
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- Pages.981-995
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
CONVERGENCE AND BREAKDOWN STUDY OF KRYLOV METHODS FOR NONSYMMETRIC LINEAR SYSTEMS
- Yun, Jae-Heon (Department of Mathematics, College of Natural Science, Chungbuk National University )
- Published : 1995.10.01
Abstract
This paper first establishes some conditions for preconditioner under which PGCR does not break down. Next, VPGCR algorithm whose preconditioners can be easily obtained is introduced and then its breakdown and convergence properties are discussed. Lastly, implementation details of VPGCR are described and then numerical results of VPGCR with a certain criterion guaranteeing no breakdown are compared with those of restarted GMRES.