Malaysian Journal of Mathematical Sciences, May 2016, Vol. 10, No. 2
The Point Procedure PRZSS1 for the Simultaneous Estimation of the Zeros of a Polynomial
Mansor Monsi, Nasruddin Hassan, and Syaida Fadhilah Mohammad Rusli
Corresponding Email: nas@ukm.edu.my
Received date: -
Accepted date: -
Abstract:
The order of convergence of the existing interval zoro symmetric singlestep procedure is at least 4. The point version shares the same order
of convergence. The point version of the interval zoro symmetric singlestep procedure, aptly called point zoro symmetric single-step procedure, is modified by repeating the two forward and one backward steps $r$ times. This modified procedure is named as point repeated zoro symmetric single-step procedure. It is shown that this procedure converges at the rate of at least $3r + 1$ where $r \geq 1$. This procedure and that of the point zoro symmetric single-step procedure are identical when $r = 1$. Numerical results show that the proposed point repeated zoro symmetric single-step procedure possesses higher rate of convergence than does the point zoro symmetric single-step procedure.
Keywords: Point procedure, R-order of convergence, simple zeros, simultaneous estimation
Indexing
