论文信息 - Regular incomplete factorizations of real positive definite matrices

Regular incomplete factorizations of real positive definite matrices

Abstract We study the classes of matrices which admit a regular incomplete factorization with respect to any graph set. We extend the construction to the class of real positive definite matrices. The convergence of the basic iteration associated with the splittings we have is discussed.

Yves Robert | Yves Robert

[1] J. Meijerink,et al. An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix , 1977 .

[2] J. Gillis,et al. Matrix Iterative Analysis , 1961 .

[3] A. Greenbaum. Comparison of splittings used with the conjugate gradient algorithm , 1979 .

[4] D. Kershaw. The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations , 1978 .

[5] T. Manteuffel. An incomplete factorization technique for positive definite linear systems , 1980 .

[6] R. Varga,et al. Incomplete Factorizations of Matrices and Connections with H-Matrices , 1980 .

[7] R. Glowinski,et al. An efficient preconditioning scheme for iterative numerical solutions of partial differential equations. , 1980 .