Solutions of Interval Linear Systems Using Interval Gauss–Jacobi and Interval Gauss–Seidel Iterative Methods

Abstract

This paper presents a study of iterative methods and interval arithmetic for solving systems of linear equations with interval coefficients. The Interval Gauss–Jacobi and Interval Gauss–Seidel methods are discussed for obtaining solutions to systems of interval linear equations. Numerical examples involving 2×2 and 3×3 interval systems are provided to demonstrate the implementation and effectiveness of these methods.