On the Algebraic Properties of Errors
Svetoslav Marinov Markov · PAMM · 2002
In numerical analysis (absolute) errors can be identified with one-dimensional intervals symmetric with respect to zero. Addition, multiplication and inclusion of errors are well-defined (set-theoretically) in interval analysis. We study axiomatically the algebraic properties of such a system of errors. To this end we introduce and investigate a new abstract algebraic structure called e-ring.