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- Title
Improved semilocal convergence analysis in Banach space with applications to chemistry.
- Authors
Argyros, Ioannis K.; Giménez, Elena; Magreñán, Á. A.; Sarría, Í.; Sicilia, Juan Antonio
- Abstract
We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost on the parameters involved our convergence criteria are weaker and the error bounds more precise than in earlier studies. A numerical example is also presented to illustrate the theoretical results obtained in this study.
- Subjects
SEMILOCAL rings; STOCHASTIC convergence; BANACH spaces; UNIQUENESS (Mathematics); NONLINEAR equations
- Publication
Journal of Mathematical Chemistry, 2018, Vol 56, Issue 7, p1958
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-017-0823-z