Derivative free iterative simultaneous method for finding distinct roots of polynomial equation

Nazir Ahmad, Mir and Mudassir, Shams and Naila, Rafiq and Siama, Akram and Muhammad, Rizwan (2020) Derivative free iterative simultaneous method for finding distinct roots of polynomial equation. Derivative free iterative simultaneous method for finding distinct roots of polynomial equation, (2020) (59): 1629–1636. pp. 1629-1636. ISSN 1110-0168

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Abstract

In this article, we present a new derivative free simultaneous method for determining in
particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is
used to construct tenth order derivative free simultaneous method, using only four function evaluation
per cycle. Convergence analysis proved that the order of convergence of derivative free simultaneous
method is ten and has a better computational efficiency as compared to other simultaneous
methods in the literature. Numerical test examples are provided to demonstrate the performance
and efficiency of the newly constructed derivative free simultaneous method.

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