Solving interval linear system using gradient vector

Author:

Setyadi N,Hadi I,Agustine D

Abstract

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 solutions results with μ=0.01.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference8 articles.

1. Bounding the solution of interval linear equations;Hansen;SIAM journal on numerical analysis,1992

2. On arithmetic operations of interval numbers;Ganesan;International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,2005

3. On Some Properties of Interval Matrices;Ganesan;International Journal of Computational and Mathematical Sciences,2007

4. Interval Gauss-Seidel method for generalized solution sets to interval linear systems;Shary;Reliable computing,2001

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