Open AccessImproved convergence ball and error analysis of Müller's method
Author(s) -
Ioannis K. Argyros,
Hang Ren,
Daniel González
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.45367
Subject(s) - lipschitz continuity , convergence (economics) , mathematics , ball (mathematics) , error analysis , nonlinear system , mathematical analysis , calculus (dental) , physics , quantum mechanics , economics , economic growth , medicine , dentistry
We present an improved convergence analysis of Müller's method for solving nonlinear equation under conditions that the divided differences of order one of the involved function satisfy the Lipschitz conditions. Our result improves the earlier work in literature. Numerical examples are presented to illustrate the theoretical results.