S. George, I. Bate, M. Muniyasamy, S. Bhide, Ioannis K. Argyros, On the local and semi-local convergence analysis of a modified Newton- Ozban composition for solving nonlinear equations, communicated (2025).
Kedarnath Senapati, Indra Bate, Santhosh George, Muniyasamy M and Chandhini G, On obtaining convergence order of a family of Jarratt-type methods under weaker assumptions, communicated (2024).
M. Murugan, C. Godavarma, S. George, I. Bate, and K. Senapati, “Convergence analysis of a class of iterative methods: A unified approach,” Mathematical Modelling and Analysis, vol. 30, no. 4, pp. 645–663, Nov. 2025. doi: 10.3846/mma.2025.21979.
I. Bate, K. Senapati, S. George, I. K. Argyros, and M. I. Argyros, “Convergence analysis of Jarratt-like methods for solving nonlinear equations for thrice-differentiable operators,” AppliedMath, vol. 5, no. 2, 2025, issn: 2673-9909. doi: 10.3390/appliedmath5020038.
I. Bate, K. Senapati, S. George, M. Muniyasamy and G. Chandhini, “Jarratt-type methods and their convergence analysis without using Taylor expansion,” Appl. Math. Comput., vol. 487, Paper No. 129112, 28, 2025, issn: 0096-3003,1873-5649. doi: 10.1016/j.amc.2024.129112.
I. Bate, M. Murugan, S. George, K. Senapati, I. K. Argyros, and S. Regmi, “On extending the applicability of iterative methods for solving systems of nonlinear equations,” Axioms, vol. 13, no. 9, 2024, issn: 2075-1680. doi: 10.3390/axioms13090601.
M. Muniyasamy, G. Chandhini , S. George, I. Bate, and K. Senapati, “On obtaining convergence order of a fourth and sixth order method of Hueso et al. without using Taylor series expansion,” J. Comput. Appl. Math., vol. 452, Paper No. 116136, 23, 2024, issn: 0377-0427,1879-1778. doi: 10.1016/j.cam.2024.116136.
S. George, I. Bate, M. M., C. G., and K. Senapati, “Enhancing the applicability of Chebyshev-like method,” J. Complexity, vol. 83, Paper No. 101854, 20, 2024, issn: 0885-064X,1090-2708. doi:10.1016/j.jco.2024.101854.