The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros

DOI10.1016/S0898-1221(00)00068-7zbMath0954.65038OpenAlexW1980445106MaRDI QIDQ1568729

D. V. Vranić, Miodrag S. Petković

Publication date: 21 June 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00068-7

zbMATH Keywords

convergenceinterval arithmeticsimultaneous methodinclusion of polynomial zerosEuler-like iterative method

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) Real polynomials: location of zeros (26C10)

Related Items (max. 100)

A note on the improved derivative free root-solvers ⋮ A note on some recent methods for solving nonlinear equations ⋮ Euler-Like Method for the Simultaneous Inclusion of Polynomial Zeros with Weierstrass’ Correction ⋮ High order Euler-like method for the inclusion of polynomial zeros ⋮ Comments on some recent methods for the simultaneous determination of polynomial zeros

Cites Work

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• Parallel Laguerre iterations: The complex case
• Halley-like method with corrections for the inclusion of polynomial zeros
• Weierstrass formula and zero-finding methods
• Iterative methods for simultaneous inclusion of polynomial zeros
• Some improved inclusion methods for polynomial roots with Weierstrass' corrections
• Circular arithmetic and the determination of polynomial zeros
• Simultaneous inclusion of the zeros of a polynomial
• Further Applications of Circular Arithmetic: Schroeder-Like Algorithms with Error Bounds for Finding Zeros of Polynomials
• Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems

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