On the construction of simultaneous methods for multiple zeros. (English) Zbl 0895.65019

The authors present two approaches for construction of new simultaneous methods for finding multiple zeros of a polynomial \(f\). The first approach is based on approximation of the quotient \(f''/f'\). For the second the Weierstrass’ correction is employed to obtain simultaneous methods of higher order.
Reviewer: A.Roose (Tallinn)


65H05 Numerical computation of solutions to single equations
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)
12Y05 Computational aspects of field theory and polynomials (MSC2010)
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