Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
Hartmut Schwandt · SIAM Journal on Numerical Analysis · 1985
In this paper we present interval arithmetic methods for the solution of systems of nonlinear equations. These methods are based on the algorithm of R. Krawczyk [5] and a modification introduced in [3]. Starting with an interval vector containing a solution of the given system, these methods converge to that solution under relatively weak conditions, i.e. it can be said that the convergence is almost global.