The simultaneous determination of all zeros of a polynomial
Copyright policy )The simultaneous determination of all zeros of a polynomial
A class of adaptive iterative methods of higher order for the simultaneous determination of all zeros of a polynomial is constructed. These methods preserve their order of convergence also in the case of multiple roots. Numerical examples are included.
- Silesian University of Technology Poland
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
order of convergence, zeros of a polynomial, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), multiple roots, Numerical examples, Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, adaptive iterative methods, Real polynomials: location of zeros
order of convergence, zeros of a polynomial, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), multiple roots, Numerical examples, Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, adaptive iterative methods, Real polynomials: location of zeros
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