On the Remes Algorithm for Rational Approximations

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 10

Abstract

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.

Authors and Affiliations

Husam L Saad, Noori Yasir Abdul Hassan

Keywords

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  • EP ID EP651732
  • DOI 10.24297/jam.v12i10.106
  • Views 160
  • Downloads 0

How To Cite

Husam L Saad, Noori Yasir Abdul Hassan (2016). On the Remes Algorithm for Rational Approximations. JOURNAL OF ADVANCES IN MATHEMATICS, 12(10), 6733-6738. https://europub.co.uk/articles/-A-651732