Abstract
The aim of this work is to propose four preconditioners in order to resolve linear systems Ax = b , where A is a symmetric positive definite matrix. To do so, the iterative method of the preconditioned conjugate gradient is applied. The first three preconditioners are obtained from the quasi-newtonian method as an approximate inverse of the matrix A. The fourth is an approximate inverse A ∼ - 1 calculated by the algorithm ( A ∼ I ) . This algorithm derives from ( A I ) proposed to compute the inverse of regular matrices.
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