New simultaneous root-finding methods with accelerated convergence for analytic functions

DOI10.1016/J.CAM.2015.09.030zbMath1328.65115OpenAlexW2234466381MaRDI QIDQ898947

Lidija Z. Rančić, Miodrag S. Petković

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.030

zbMATH Keywords

convergenceiterative methodssimultaneous methodszeros of analytic functions

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05) Numerical computation of roots of polynomial equations (65H04)

Cites Work

• On the simultaneous determination of zeros of analytic or sectionally analytic functions
• Polynomials orthogonal on the semicircle
• A class of simultaneous methods for the zeros of analytic functions
• On rediscovered iteration methods for solving equations
• On the simultaneous determination of the zeros of an analytic function inside a simple smooth closed contour in the complex plane
• Family of simultaneous methods of Hansen--Patrick's type
• Computing the zeros of analytic functions
• On Schröder's families of root-finding methods
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