Semilocal convergence of a family of multi-point ehrlich-type root-finding methods
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020AIP Conference Proceedings(2022)
摘要
In this talk, we discuss the convergence of a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a polynomial simultaneously. The purpose of the talk is to present a convergence theorem for the multi-point Ehrlich-type methods with computationally verifiable initial conditions. The new result is obtained by using a new approach to the iteration functions of multi-point simultaneous methods developed recently in [1] as well as by using an initial condition conversion theorem of Proinov [2].
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关键词
semilocal convergence,multi-point,ehrlich-type,root-finding
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