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Local Fractional Newton’s Method Derived from Modified Local Fractional Calculus
In: Proc. of the 2th Scientific and Engineering Computing Symposium on Computational Sciences and Optimization. (2009)
  • Yang Xiao-Jun
  • Feng Gao, Zongxin Kang, Feng Gao, Zongxin Kang
Abstract

A local fractional Newton’s method, which is derived from the modified local fractional calculus , is proposed in the present paper. Its iterative function is obtained and the convergence of the iterative function is discussed. The comparison between the classical Newton iteration and the local fractional Newton iteration has been carried out. It is shown that the iterative value of the local fractional Newton method better approximates the real-value than that of the classical one.

Publication Date
2009
Publisher Statement
This paper is coprighted by the publisher
Citation Information
F. Gao, X. Yang, Z. Kang. "Local Fractional Newton’s Method Derived from Modified Local Fractional Calculus" In: Proc. of the 2th Scientific and Engineering Computing Symposium on Computational Sciences and Optimization. (2009): 228-232.