ASYMPTOTIC ERROR ANALYSIS OF k-FOLD PSEUDO-NEWTON'S METHOD LOCATING A SIMPLE ZERO

  • Kim, Young Ik (Department of Applied Mathematics Dankook University)
  • 투고 : 2008.09.06
  • 심사 : 2008.11.20
  • 발행 : 2008.12.30

초록

The k-fold pseudo-Newton's method is proposed and its convergence behavior is investigated near a simple zero. The order of convergence is proven to be at least k + 2. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. High-precison numerical results are successfully implemented via Mathematica and illustrated for various examples.

키워드

과제정보

연구 과제 주관 기관 : Dankook University