Solving Linear Systems Using Interval Arithmetic Approach
Karkar Nora, Benmohamed Khier · 2012
Abstract: in this paper we discuss various classes of solution sets for linear interval systems of equations, and interval linear programming problems. And their properties, in this model we let the coefficient matrix and the right vector hands and the cost coefficient are interval. Interval methods constitute an important mathematical and computational tool for modeling real-world systems (especially mechanical) with bounded uncertainties of parameters, and for controlling rounding errors in computations. They are in principle much simpler than general probabilistic or fuzzy set formulation, while in the same time they conform very well to many practical situations. Linear interval systems constitute an important subclass of such interval models, still in the process of continuous development. Keywords- linear interval systems; interval arithmetic; interval model I.