On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial
DOI10.1016/j.amc.2009.08.048zbMath1182.65077OpenAlexW2075135543MaRDI QIDQ1044413
Miodrag S. Petković, Đorđe D. Herceg, Ivan Petković
Publication date: 18 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.048
convergencenumerical examplesiterative methodcomputational efficiencypolynomial zerosroot-finding methodssimultaneous methods
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of roots of polynomial equations (65H04)
Cites Work
- A parallel algorithm for simple roots of polynomials
- Numerical methods for roots of polynomials. Part I
- Point estimation of root finding methods
- On Euler-like methods for the simultaneous approximation of polynomial zeros
- A family of simultaneous zero-finding methods
- An improvement on Nourein's method for the simultaneous determination of the zeroes of a polynomial. (An algorithm)
- 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
- On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials
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- Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
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- Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
- On a cubically convergent derivative-free root finding method
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