Solving Interval Linear System Using Gradient Vector
Ibnu Hadi(a*), Norman Setyadi(a**), Debby Agustine (a***)

a) Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta
Jalan Rawamangun Muka, Jakarta, 13220, Indonesia

*)ibnu_hadi[at]unj.ac.id
**) normansetyadi[at]gmail.com,normansetyadi_mtk15s1[at]mahasiswa.unj.ac.id
***)debbyagustine[at]gmail.com

Abstract

In this paper we represent an algorithm for finding the interval solution using gradient vector. This algorithm applies the optimization problem based on gradient vector in order to obtain the lower bound and upper bound of the interval solution. In this method, initial solution has been used with stopping criteria to compute the solution. An example problem is solved to represent this method with μ=0.5, μ=0.1, μ=0.05, and μ=0.01. By this method, we obtain optimal numerical results with different μ.

Keywords: interval, gradient vector, stopping criteria

Topic: Mathematics