A Quadratically Convergent Krawczyk-Like Algorithm

@inproceedings{Alefeld1983AQC,
  title={A Quadratically Convergent Krawczyk-Like Algorithm},
  author={G{\"o}tz Alefeld and L. Platz{\"o}der},
  year={1983}
}
In this paper we introduce a method for computing a solution of a nonlinear system, which is similar to that proposed by R. Krawczyk [Computing, 4 (1969), pp. 187–201]. Our method, however, needs considerably less work per step. Starting with an interval vector, we give a criterion under which the method is convergent to the solution of the system if a solution is contained in the interval vector. If the starting vector contains no solution then the method will break down after a finite number… CONTINUE READING

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