Open AccessOn the Remes Algorithm for Rational Approximations
Author(s) -
Husam L. Saad,
Noori Yasir Abdul Hassan
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i10.106
Subject(s) - mathematics , minimax , set (abstract data type) , nonlinear system , algorithm , approximations of π , mathematical optimization , computer science , physics , quantum mechanics , programming language
This paper is concerned with the minimax approximation of a discrete data set by rational functions. The second algorithm of Remes is applied. A crucial stage of this algorithm is solving the nonlinear system of leveling equations. In this paper, we will give a new approach for this purpose. In this approach, no initial guesses are required. Illustrative numerical example is presented.