The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros

Abstract EN

The point symmetric single step procedure PSS1 has R-order of convergence at least 3.

This procedure is modified by adding another single-step, which is the third step in PSS1.

This modified procedure is called the point zoro symmetric single-step PZSS1.

It is proven that the R-order of convergence of PZSS1 is at least 4 which is higher than the R-order of convergence of PT1, PS1, and PSS1.

Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously.