Outer interval solution of linear systems with parametric interval data
Hassan Badry, Ahmed A. Mohamed · 2013
This paper addresses the problem of solving linear systems of equations whose coefficients are depend affine-linearly on parameters varying within prescribed intervals. Such systems, are encountered in many practical problems, e.g in electrical engineering and mechanical systems. A C-XSC(C- for eXtended Scientific Computing) implementation of a symmetric single step method for computing an outer enclosure for the solution set is proposed in this paper. Numerical examples illustrating the applicability of the proposed. ndex Terms— symmetric single step method, parametric linear systems, validated interval software, C-XSC. —————————— —————————— n p A × ℜ ∈ ) ( and n p b ℜ ∈ ) ( depend affine linearly on a parameter vector k p ℜ ∈ . Since, each individual component of ) ( p A , ) ( p