Abstract

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.

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