Some modifications of the parallel Halley iteration method and their convergence

DOI10.1007/BF02253746zbMath0589.65041MaRDI QIDQ1074309

Deren Wang, Yu-Jiang Wu

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical examplezerosconvergence ordercomplex polynomialparallel Halley iteration method

Mathematics Subject Classification ID

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 (10)

The Durand-Kerner method for trigonometric and exponential polynomials ⋮ Interval versions of some procedures for the simultaneous estimation of complex polynomial zeros ⋮ The globalization of Durand-Kerner algorithm ⋮ A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence ⋮ The improved Farmer–Loizou method for finding polynomial zeros ⋮ The convergence of a class of parallel Newton-type iterative methods ⋮ A family of root-finding methods with accelerated convergence ⋮ An efficient higher order family of root finders ⋮ Improved Halley-like methods for the inclusion of polynomial zeros ⋮ On an efficient simultaneous method for finding polynomial zeros

Cites Work

• Unnamed Item
• On the convergence order of a modified method for simultaneous finding polynomial zeros
• Circular arithmetic and the determination of polynomial zeros
• On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots

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