present new fourth order method find simpl root nonlinear equat term comput cost per iter method use one evalu function two evalu it first deriv therefor method has optim order effici index 1587 which better than effici index 1414 newton method same jarratt method king famili numer exampl given support method thus obtain competit other similar robust method the conjugaci map extran fix point present method other exist fourth order method discuss basin attract also given demonstr dynam behavior complex plane

Rajni Sharma

Ashu Bahl

An Optimal Fourth Order Iterative Method for Solving Nonlinear Equations and Its Dynamics

nevanlinna theori provid mani tool applic studi valu distribut meromorph solut differenti equat analogu some tool have been recent develop differ differ ultradiscret equat mani case methodolog use studi meromorph solut differenti differ differ equat larg similar the purpos paper collect some tool common toolbox studi general class function equat introduc notion good linear oper which satisfi certain regular condit term valu distribut theori exampl case appli our method studi growth meromorph solut function equat where linear polynomi where good linear oper polynomi degre deg both small meromorph coeffici meromorph function

Nan Li

Risto Korhonen

Lianzhong Yang

Good Linear Operators and Meromorphic Solutions of Functional Equations

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Table of Contents: 2015

An Optimal Fourth Order Iterative Method for Solving Nonlinear Equations and Its Dynamics

Good Linear Operators and Meromorphic Solutions of Functional Equations