Abstract
The Preconditioned Simultaneous Displacement (PSD) iterative method is considered for the solution of symmetric, sparse matrix problems, The development of a dynamic algorithm for improving the estimates of the involved parameters is presented, These estimates are then used to accelerate the PSD method by employing semi-iterative techniques, The algorithm determines adaptively a sequence of parameters while the iteration is in progress without requiring preliminary eigenvalue estimates (only trivial input parameters are required), The performance of the algorithm is tested on a number of generalised Dirichlet problems, It is seen that the attained rate of convergence is approximately O(h 1/2) and is better than the algorithm using estimated parameters in certain cases.
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