این سایت در حال حاضر پشتیبانی نمی شود و امکان دارد داده های نشریات بروز نباشند
Global Analysis and Discrete Mathematics، جلد ۸، شماره ۱، صفحات ۱-۱۰
عنوان فارسی
چکیده فارسی مقاله
کلیدواژه‌های فارسی مقاله
عنوان انگلیسی Optimal Parameterised Families of Modified Householder’s Method with and without Restraint on Function Derivative
چکیده انگلیسی مقاله This paper introduces two families of modified Householder’s method (HM) that are optimal in line with Kung-Traub conjecture given in [4]. The modification techniques employed involved approximation of the function derivatives in the HM with divided difference operator, a polynomial function approximation and the modified Wu function approximation in [17]. These informed the formation of two families of methods that that are optimal and do not or require function derivative evaluation. The both families do not breakdown when f(·) ≈ 0 as in the case with the HM and many existing modified HM. From the convergence investigation carried out on the methods, the sequence of approximations produced by the methods, converged to solution of nonlinear equation with order four. The implementation of the methods was illustrated and numerical results obtained were compared with that of some recently developed methods.
کلیدواژه‌های انگلیسی مقاله Iterative method, Householder method, Derivative free, Optimal Order
نویسندگان مقاله Oghovese Ogbereyivwe |
Department of Mathematics, Delta State University of Science and Technology, Ozoro, Nigeria.

Salisu Shehu Umar |
Department of Statistics, Federal Polytechnic Auchi, Nigeria.

نشانی اینترنتی https://gadm.du.ac.ir/article_376_5b370f0b161bb8ee8d5597f2a0b29f03.pdf
فایل مقاله فایلی برای مقاله ذخیره نشده است
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده
نوع مقاله منتشر شده
برگشت به: صفحه اول پایگاه   |   نسخه مرتبط   |   نشریه مرتبط   |   فهرست نشریات