مقاله Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations

توجه : به همراه فایل word این محصول فایل پاورپوینت (PowerPoint) و اسلاید های آن به صورت هدیه ارائه خواهد شد

 مقاله Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations دارای ۱۶ صفحه می باشد و دارای تنظیمات در microsoft word می باشد و آماده پرینت یا چاپ است

فایل ورد مقاله Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations  کاملا فرمت بندی و تنظیم شده در استاندارد دانشگاه  و مراکز دولتی می باشد.

توجه : در صورت  مشاهده  بهم ریختگی احتمالی در متون زیر ،دلیل ان کپی کردن این مطالب از داخل فایل ورد می باشد و در فایل اصلی مقاله Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations،به هیچ وجه بهم ریختگی وجود ندارد

بخشی از متن مقاله Dynamical ‎C‎ontrol of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear ‎Equations :

سال انتشار : ۲۰۱۷

تعداد صفحات :۱۶

One of the considerable discussions for solving the nonlinear equations is to find the optimal iteration, and to use a proper termination criterion which is able to obtain a high accuracy for the numerical solution. In this paper, for a certain class of the family of optimal two-point methods, we propose a new scheme based on the stochastic arithmetic to find the optimal number of iterations in the given iterative solution and obtain the optimal solution with its accuracy. For this purpose, a theorem is proved to illustrate the accuracy of the iterative method and the CESTAC$^1$\footnote{$^1$Controle et Estimation Stochastique des Arrondis de Calculs} method and CADNA$^2$\footnote{$^2$Control of Accuracy and Debugging for Numerical Application} library are applied which allows us to estimate the round-off error effect on any computed result. The classical criterion to terminate the iterative procedure is replaced by a criterion independent of the given accuracy ($\epsilon$) such that the best solution is evaluated numerically, which is able to stop the process as soon as a satisfactory informatical solution is obtained. Some numerical examples are given to validate the results and show the efficiency and importance of using the stochastic arithmetic in place of the floating-point ‎arithmetic.‎