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A Neural-Network Algorithm for the Simultaneous Inclusion of Polynomial Zeros

A neural-network algorithm is proposed to find simultaneously roots of polynomials which were not well solved by the other methods. Its convergence was researched. The computation is carried out by simple steepest descent rule with adaptive variable learning rate. The specific examples showed that the proposed method can find the multiple roots of polynomials at a very rapid convergence and very high accuracy with less computation.