On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials
Copyright policy )On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials
The authors generalize the Euler-Chebyshev method for the case when only a part of the roots of a polynomial is sought for. Local cubic convergence is proved for the case of sufficiently separated roots. Numerical experiments are given.
- Yamagata University Japan
- Plovdiv University Bulgaria
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
zeros of polynomials, local convergence theorem, single-step procedure, Euler-Chebyshev method, cubic convergence, Real polynomials: location of zeros, total-step method, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, local convergence, Numerical computation of solutions to single equations, numerical experiments
zeros of polynomials, local convergence theorem, single-step procedure, Euler-Chebyshev method, cubic convergence, Real polynomials: location of zeros, total-step method, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, local convergence, Numerical computation of solutions to single equations, numerical experiments
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