A New Family of High-Order Ehrlich-Type Iterative Methods

نویسندگان

چکیده

One of the famous third-order iterative methods for finding simultaneously all zeros a polynomial was introduced by Ehrlich in 1967. In this paper, we construct new family high-order as combination Ehrlich’s iteration function and an arbitrary function. We call these with correction. The paper provides detailed local convergence analysis presented large class functions. As consequence, obtain two types theorems well semilocal (with computer verifiable initial condition). special cases main results, study several particular methods. ends some experiments that show applicability our theorems.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9161855