A comparison between the Apostolatos-Kulisch theorem and the Mayer-Warnke theorem in interval analysis
Sergey P. Shary · Numerical Analysis and Applications · 2009
This paper deals with comparing the Apostolatos-Kulisch theorem and the Mayer-Warnke theorem, which form a basis for the so-called formal (algebraic) approach to outer interval estimation of solution sets for interval linear systems of equations. It is shown that despite the greater generality of the Mayer-Warnke theorem, it does not essentially extend the scope of applicability of the formal approach, and the practical significance of this extension is very small.