Open AccessDesign and analysis of a faster King-Werner-type derivative free method
Author(s) -
Janak Raj Sharma,
Ioannis K. Argyros,
Deepak Kumar
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.44132
Subject(s) - lipschitz continuity , convergence (economics) , type (biology) , local convergence , mathematics , derivative (finance) , nonlinear system , order (exchange) , mathematical analysis , mathematical optimization , iterative method , physics , geology , paleontology , finance , quantum mechanics , financial economics , economics , economic growth
We introduce a new faster King-Werner-type derivative-free method for solving nonlinear equations. The local as well as semi-local convergence analysis is presented under weak center Lipschitz and Lipschitz conditions. The convergence order as well as the convergence radii are also provided. The radii are compared to the corresponding ones from similar methods. Numerical examples further validate the theoretical results.