TY - GEN

T1 - Iterative methods by SPD and small subspace solvers for nonsymmetric or idefinite problems

AU - Xu, Jinchao

PY - 1992/12/1

Y1 - 1992/12/1

N2 - This paper is devoted to a class of iterative methods for solving nonsymmetric or indefinite problems that are dominated by some SPD (symmetric positive definite) problems. The algorithm is based on a direct solver for the original equation restricted on a small subspace and a given iterative method for the SPD equation. It is shown that any convergent iterative method for the SPD problem will give rise to an algorithm that converges with a comparable rate if the small subspace is properly chosen. Furthermore a number of preconditioners that can be used with GMRES type methods are also obtained.

AB - This paper is devoted to a class of iterative methods for solving nonsymmetric or indefinite problems that are dominated by some SPD (symmetric positive definite) problems. The algorithm is based on a direct solver for the original equation restricted on a small subspace and a given iterative method for the SPD equation. It is shown that any convergent iterative method for the SPD problem will give rise to an algorithm that converges with a comparable rate if the small subspace is properly chosen. Furthermore a number of preconditioners that can be used with GMRES type methods are also obtained.

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M3 - Conference contribution

AN - SCOPUS:0026993287

SN - 0898712882

T3 - Domain Decomposition Methods for Partial Differential Equations

SP - 106

EP - 118

BT - Domain Decomposition Methods for Partial Differential Equations

PB - Publ by Soc for Industrial & Applied Mathematics Publ

T2 - Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations

Y2 - 6 May 1991 through 8 May 1991

ER -