On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros
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Publication:4831432
DOI10.1080/00207160310001650107zbMath1072.65070OpenAlexW2108507664MaRDI QIDQ4831432
Lidija Z. Rančić, Snežana Ilić
Publication date: 29 December 2004
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160310001650107
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05)
Cites Work
- Unnamed Item
- A parallel algorithm for simple roots of polynomials
- Finding the roots of a polynomial on an MIMD multicomputer
- A family of simultaneous zero-finding methods
- On the determination of the safe initial approximation for the Durand- Kerner algorithm
- An iteration formula for the simultaneous determination of the zeros of a polynomial
- Safe convergence of simultaneous methods for polynomial zeros
- Some simultaneous iterations for finding all zeros of a polynomial with high order convergence
- A bibliography on roots of polynomials
- Iterative methods for simultaneous inclusion of polynomial zeros
- The theory of Smale's point estimation and its applications
- On some methods for the simultaneous determination of polynomial zeros
- On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials
- A posteriori error bounds for the zeros of polynomials
- Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
- Simultaneous inclusion of the zeros of a polynomial
- The fundamental theorem of algebra and complexity theory
- An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial
- A modified Newton method for polynomials
- Point estimation of simultaneous methods for solving polynomial equations: A survey
