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Improved convergence analysis for Newton-like methods
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 ...
Combination Of The Sequential Secant Method And Broyden's Method With Projected Updates
(Springer-Verlag, 1980)
Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy
(Gordon Breach Sci Publ LtdReadingInglaterra, 1997)
A generalized-secant homogenization scheme for viscoplastic polycrystalline solids under imposed deformationsUne méthode d'homogénéisation sécante généralisée pour des matériaux polycristallins viscoplastiques en déformations imposées
(Elsevier Masson, 2015-03)
Homogenization estimates for viscoplastic polycrystals are derived by applying the generalized-secant linearization scheme of Liu and Ponte Castañeda (2004) [1] to the constitutive description with strain rates as primary ...
Improved semilocal convergence analysis in Banach space with applications to chemistry
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 convergence of quasi-Newton methods for nonsmooth problems
(Marcel Dekker IncNew York, 1995)
On the local and superlinear convergence of a Secant Modified Linear-Programming-Newton Method
(Springer/Plenum Publishers, 2019-03-15)
We present a superlinearly convergent method to solve a constrained system of nonlinear equations. The proposed procedure is an adaptation of the linear-programming-Newton method replacing the first-order information with ...