The point zoro symmetric single-step procedure for simultaneous estimation of polynomial zeros

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. copyright © 2012 mansor monsi et al.