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Estimation of the optimum relaxation factors in partial factorization iterative methods. (English) Zbl 0767.65025

A new method is presented for estimating the optimal relaxation factors in both single and double successive overrelaxation processes. The theoretical results are applied for the solution of large-scale sparse linear systems arising in the difference approximation of elliptic partial differential equations.

MSC:

65F10 Iterative numerical methods for linear systems
65F50 Computational methods for sparse matrices
65N06 Finite difference methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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