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Newton-like iteration method for solving algebraic equations. (English) Zbl 0918.65034
Summary: A Newton-like iteration method is proposed to solve an approximate solution of an algebraic equation. The iteration formula obtained by homotopy perturbation method contains the well-known Newton iteration formula in logic.

MSC:
65H05 Numerical computation of solutions to single equations
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations
12Y05 Computational aspects of field theory and polynomials (MSC2010)
26C10 Real polynomials: location of zeros
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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