A high order iteration formula for the simultaneous inclusion of polynomial zeros

DOI10.1016/j.amc.2005.11.117zbMath1126.65047OpenAlexW2087310197MaRDI QIDQ849758

Xin Zhang, Guiwu Hu, Hong Peng

Publication date: 31 October 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.117

zbMATH Keywords

numerical examplesLagrange interpolationinitial conditions for convergenceconvergence orderzeros of polynomialsimultaneous iteration

Mathematics Subject Classification ID

Related Items (7)

ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS ⋮ A note on the improved derivative free root-solvers ⋮ Bounds for the zeros of complex-coefficient polynomials ⋮ On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation ⋮ Some families of two-step simultaneous methods for determining zeros of nonlinear equations ⋮ Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations ⋮ On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously

Cites Work

• Some simultaneous iterations for finding all zeros of a polynomial with high order convergence
• Iterative methods for simultaneous inclusion of polynomial zeros
• On some simultaneous methods based on Weierstrass' correction
• On initial conditions for the convergence of simultaneous root finding methods
• On iteration methods without derivatives for the simultaneous determination of polynomial zeros

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