A general class of derivative free optimal root finding methods based on rational interpolation.
We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2 (n-1) using rational interpolant. The special cases of this class are obtained. These methods do not need Newton's iterate in the first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Fiza
0000-0003-0552-2783
F
Zafar
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Nusrat
0000-0002-5592-4097
N
Yasmin
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Saima
0000-0001-6434-7650
S
Akram
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Moin-ud-Din
0000-0002-1251-1532
MU
Junjua