Iterative technique applies over wider range of initial guesses. New theorem describes convergence zone of Newton's iterative method for finding zeros of real function. Involves two points, Xp and Xp*, called primary conjugate points. If exact solution lies between these points (Xp is less than Xz is less than Xp*) and no other conjugate points in interval, then according to theorem, subsequent iterations will converge upon exact solution if initial guess lies in interval.


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    Title :

    Larger Convergence Zones for Newton's Method


    Contributors:

    Published in:

    Publication date :

    1986-07-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English