Affiliation:
1. Department of Applied Mathematics, Dankook University, Cheonan 31116, Republic of Korea
Abstract
A family of three-point, sixth-order, multiple-zero solvers is developed, and special cases of weight functions are investigated based on polynomials and low-order rational functions. The chosen cases of the proposed iterative method are compared with existing methods. The experiments show the superiority of the proposed schemes in terms of the number of divergent points and the average number of function evaluations per point. The dynamical characteristics of the developed methods, along with their illustrations, are represented with detailed analyses, comparisons, and comments.
Funder
National Research Foundation of Korea
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference31 articles.
1. Ahlfors, L.V. (1979). Complex Analysis, McGraw-Hill Book, Inc.
2. Hörmander, L. (1973). An Introduction to Complex Analysis in Several Variables, North-Holland Publishing Company.
3. Shabat, B.V. (1992). Introduction to Complex Analysis PART II, Functions of Several Variables, American Mathematical Society.
4. Devaney, R.L. (1987). An Introduction to Chaotic Dynamical Systems, Addison-Wesley Publishing Company, Inc.
5. Optimal order of one-point and multipoint iteration;Kung;J. Assoc. Comput. Mach.,1974
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