An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial
From MaRDI portal
Publication:4188651
DOI10.1080/00207167708803141zbMath0403.65013OpenAlexW2121230124MaRDI QIDQ4188651
Publication date: 1977
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207167708803141
Order of ConvergenceDurand- Kerner and a Newton CorrectionDurand-Kerner and the Ehrlich MethodsZeros 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) (30C15) Numerical computation of solutions to single equations (65H05)
Related Items
ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS, ON INVERSE ITERATION PROCESS FOR FINDING ALL ROOTS OF NONLINEAR EQUATIONS WITH APPLICATIONS, On comparison of annuli containing all the zeros of a polynomial, Scaled parallel iterative method for finding real roots of nonlinear equations, Point estimation of simultaneous methods for solving polynomial equations: A survey. II., A highly efficient root-solver of very fast convergence, A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros, On nonlinear SOR-like methods. I: Applications to simultaneous methods for polynomial zeros, On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously, On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation, Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation, On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros, On some methods for the simultaneous determination of polynomial zeros, Construction of zero-finding methods by Weierstrass functions, Point estimation and some applications to iterative methods, A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence, ON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS, Study of dynamical behavior and stability of iterative methods for nonlinear equation with applications in engineering, On the efficiency of some combined methods for polynomial complex zeros, On an iterative method for simultaneous inclusion of polynomial complex zeros, On the convergence order of a modified method for simultaneous finding polynomial zeros, On region containing all the zeros of a polynomial, On an efficient inclusion method for finding polynomial zeros, On a family of Weierstrass-type root-finding methods with accelerated convergence, Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications, Methods with corrections for the simultaneous inclusion of polynomial zeros, The convergence of a class of parallel Newton-type iterative methods, A family of root-finding methods with accelerated convergence, On the \(R\)-order of some accelerated methods for the simultaneous finding of polynomial zeros, An efficient higher order family of root finders, On the new fourth-order methods for the simultaneous approximation of polynomial zeros, On the improved Newton-like methods for the inclusion of polynomial zeros, On Geometry of the Zeros of a Polynomial, Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros, Computational efficiency of some combined methods for polynomial equations, Iterative methods for multiple zeros of a polynomial by clustering, The self-validated method for polynomial zeros of high efficiency, On dynamics of iterative techniques for nonlinear equation with applications in engineering, A note on some improvements of the simultaneous methods for determination of polynomial zeros, A family of simultaneous methods for the determination of polynomial complex zeros, On an efficient simultaneous method for finding polynomial zeros, An improvement of Gargantini's simultaneous inclusion method for polynomial roots by Schröder's correction
Cites Work
