A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics
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DOI: 10.1155/2021/5597186
Abstract: In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. An extensive convergence analysis is presented to verify the… read more here.
Keywords: eighth order; family optimal; multiple roots; family ... See more keywords
Convergence Analysis of Weighted-Newton Methods of Optimal Eighth Order in Banach Spaces
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DOI: 10.3390/math7020198
Abstract: We generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study their local convergence. In a previous study, the Taylor expansion of higher order derivatives is employed which may not exist… read more here.
Keywords: newton methods; convergence; order; weighted newton ... See more keywords
An Optimal Eighth-Order Family of Iterative Methods for Multiple Roots
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7080672
Abstract: In this paper, we introduce a new family of efficient and optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity ( m ≥ 1 ) . We use the weight function… read more here.
Keywords: iterative methods; multiple roots; eighth order; family ... See more keywords