Modified-accelerated Krawczyks algorithm
Stephen Ehidiamhen Uwamusi · International Journal of the Physical Sciences · 2009
An algorithm that is twice as fast as the original Krawczyk method for finding zeros of nonlinear systems of equations is obtained via the procedures of Wolfe’s modification of Krawckzyk method using the ideas derived in Uwamusi (2004). The method was implemented using Moore’s interval arithmetic. It is shown that whenever the interval arithmetic evaluation exists the Hausdorff distance R(f,[X]) and f(m([X])) go linearly to zero with the width w[X] as the desired solution is approached. Key words: nonlinear system of equation, Newton’s method, Krawczyk’s algorithm.