Shifted incomplete Cholesky factorization
A technique for solving the large sparse linear systems that arise from the application of finite element methods is described. The technique combines an incomplete factorization method called the shifted incomplete Cholesky factorization with the method of generalized conjugate gradients. The shifted incomplete Cholesky factorization produces a splitting of the matrix A that is dependent upon a parameter ..cap alpha... It is shown that, if A is positive definite, then there is some ..cap alpha.. for which this splitting is possible and that this splitting is at least as good as the Jacobi splitting. The method is shown to be more efficient on a set of test problems than either direct methods or explicit iteration schemes.
- Research Organization:
- Sandia Labs., Albuquerque, N.Mex. (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 6839576
- Report Number(s):
- SAND-78-8226
- Country of Publication:
- United States
- Language:
- English
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