On the solution of ill-conditioned systems of linear equations
In this paper we propose novel technique to solve the ill-conditioned system of linear equations Ax = b. For given a matrix, we find two invertible diagonal matrices and by Simulated Annealing method, such that
( denoting the set of all diagonal matrices) relative to a given matrix norm. With this step carried out, the solution of the system is effected by solving the system and then calculating .
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