On Halley-Like Algorithms for Simultaneous Approximation of Polynomial Complex Zeros
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Publication:3830423
DOI10.1137/0726043zbMath0675.65039OpenAlexW1975240059MaRDI QIDQ3830423
Publication date: 1989
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0726043
numerical examplesconvergence raterounding errorsHalley's iterative formulapolynomial complex multiple zeros
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)
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A local convergence theorem for the super-Halley method in a Banach space ⋮ Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials ⋮ A family of simultaneous zero finding methods ⋮ Forward-backward serial iteration methods for simultaneously approximating polynomial zeros ⋮ On initial conditions for the convergence of simultaneous root finding methods ⋮ On the efficiency of some combined methods for polynomial complex zeros ⋮ New higher-order methods for the simultaneous inclusion of polynomial zeros ⋮ On the convergence condition of generalized root iterations for the inclusion of polynomial zeros ⋮ On an efficient inclusion method for finding polynomial zeros ⋮ Higher-order iterative methods for approximating zeros of analytic functions ⋮ A class of simultaneous methods for the zeros of analytic functions ⋮ Efficient methods for the inclusion of polynomial zeros ⋮ Derivative free inclusion methods for polynomial zeros ⋮ A new higher-order family of inclusion zero-finding methods ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials ⋮ Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros ⋮ Schröder-like algorithms for multiple complex zeros of a polynomial ⋮ A hybrid method for polynomial complex zero ⋮ The self-validated method for polynomial zeros of high efficiency ⋮ On the convergence of Wang-Zheng's method ⋮ Improved Halley-like methods for the inclusion of polynomial zeros ⋮ Phase path tracing methods for solving the high order zeros of nonlinear systems
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