An incomplete factorization technique for positive definite linear systems

A that is dependent upon a parameter \alpha A is positive definite, then there is some 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 i...

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Bibliographic Details
Published in:Mathematics of computation 1980-04, Vol.34 (150), p.473-497
Main Author: Manteuffel, T. A.
Format: Article
Language:English
Subjects:
Cholesky factorization
Cliffs
Conjugate gradient method
Eigenvalues
Eigenvectors
Factorization
Iterative solutions
Linear systems
Matrices
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Summary:A that is dependent upon a parameter \alpha A is positive definite, then there is some 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.]]>
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-1980-0559197-0