Iterative methods for systems of equations with interval coefficients and linear form (Q1079919)

We introduce iterative methods for systems of equations with interval coefficients and linear form by suitable matrix splittings. When compared to the iterative methods for systems amenable to iteration introduced in \textit{G. Alefeld} and \textit{J. Herzberger} [Introduction to Interval Computations (1983; Zbl 0552.65041)] improved convergence and inclusion properties can be proved under suitable conditions. The methods can also be used in the solution of specific nonlinear systems of equations by interval arithmetic methods.