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A unified convergence analysis for secant-type methods
(Journal of the Korean Mathematical Society, 2014-11)
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes he computation ...
Relaxed secant-type methods
(Nonlinear Studies, 2014-06)
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation ...
Improved convergence analysis for Newton-like methods
(Numerical Algorithms, 2016-04)
We present a new semilocal convergence analysis for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these methods in ...