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A minimal residual algorithm based on the idea of the classical CG method for the inconsistent matrix equation AXB + CYD = E is constructed in this paper. By this method, the minimum norm least squares solution for anti-symmetric matrices can be obtained within finite iteration steps by choosing a special kind of initial iteration matrix when the matrix equation AXB + CYD = E is not consistent and...
In this paper, some new iterative methods for solving non-linear equations f(x)=0 are presented and analyzed by means of a new two-step predictor–corrector type iterative method. The convergence criteria for these iterative methods are also discussed. Several numerical examples are given to illustrate the efficiency and performance of the new methods.
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