A Quadratically Convergent Krawczyk-Like Algorithm
Copyright policy )A Quadratically Convergent Krawczyk-Like Algorithm
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 of steps.
Numerical computation of solutions to systems of equations, Interval and finite arithmetic, iteration method, interval matrix, Gaussian algorithm, quadratically convergent, interval arithmetic, Krawczyk algorithm
Numerical computation of solutions to systems of equations, Interval and finite arithmetic, iteration method, interval matrix, Gaussian algorithm, quadratically convergent, interval arithmetic, Krawczyk algorithm
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