On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros

DOI10.1080/00207160600727310zbMath1118.65040OpenAlexW2044297263MaRDI QIDQ3423751

Miodrag S. Petković, Dušan M. Milošević

Publication date: 15 February 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160600727310

zbMATH Keywords

numerical examplesinterval methodscomplex zerositerated arithmetic

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) 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 (3)

New higher-order methods for the simultaneous inclusion of polynomial zeros ⋮ High order Euler-like method for the inclusion of polynomial zeros ⋮ On the improved Newton-like methods for the inclusion of polynomial zeros

Cites Work

• Unnamed Item
• Ostrowski-like method with corrections for the inclusion of polynomial zeros
• On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic
• Parallel Laguerre iterations: The complex case
• Halley-like method with corrections for the inclusion of polynomial zeros
• Iterative methods for simultaneous inclusion of polynomial zeros
• Laguerre-like inclusion method for polynomial zeros
• Some improved inclusion methods for polynomial roots with Weierstrass' corrections
• Circular arithmetic and the determination of polynomial zeros

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