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On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros. (English) Zbl 0623.65055

The authors suggest a measure for the computational efficiency of iterative methods for the simultaneous determination of polynomial zeros which takes into account the R-order of convergence and the number of arithmetic operations per iteration step.
Reviewer: G.Merz

MSC:

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)
68Q25 Analysis of algorithms and problem complexity