Halley-like method with corrections for the inclusion of polynomial zeros

DOI10.1007/s006070050014zbMath0938.65077OpenAlexW2027305011MaRDI QIDQ1293461

Miodrag S. Petković

Publication date: 28 June 2000

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070050014

zbMATH Keywords

convergencenumerical examplecircular arithmeticzeros of polynomialssimultaneous methodssimultaneous inclusionNewton's correctionsHalley's iteration method

Mathematics Subject Classification ID

Related Items (15)

Laguerre-like inclusion method for polynomial zeros ⋮ Improved methods for the simultaneous inclusion of multiple polynomial zeros ⋮ Multi-step root solvers of Traub's type in real interval arithmetic ⋮ On an efficient inclusion method for finding polynomial zeros ⋮ High order Euler-like method for the inclusion of polynomial zeros ⋮ Efficient methods for the inclusion of polynomial zeros ⋮ Weierstrass-like methods with corrections for the inclusion of polynomial zeros ⋮ Derivative free inclusion methods for polynomial zeros ⋮ A new higher-order family of inclusion zero-finding methods ⋮ On the improved Newton-like methods for the inclusion of polynomial zeros ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials ⋮ The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros ⋮ The self-validated method for polynomial zeros of high efficiency ⋮ On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros ⋮ Improved Halley-like methods for the inclusion of polynomial zeros

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