Solution sets of complex linear interval systems of equations

Abstract

We present a solution set description for systems of complex interval equations, where complex intervals have a rectangular form. The solu- tion set is described by a system of nonlinear inequalities, which can be used to obtain a very accurate approximation of the interval hull of the solution set.

In our numerical experiments we exploit this approximation to study overestimation for common complex interval equation solvers (Gauss elimination, Hansen-Bliek-Rohn-Ning-Kearfott method).

Keywords

• linear interval systems
• interval analysis
• complex solution set