Results 181 to 190 of about 17,674,138 (204)

Analysing the Efficiency of Some Modifications of the Secant Method [PDF]

open access: yesComputers and Mathematics With Applications, 2012
Some modifications of the secant method for solving nonlinear equations are revisited and the local order of convergence is found in a direct symbolic computation.
Àngela Grau   +2 more
exaly   +2 more sources

Semilocal Convergence of Secant-Like Methods for Differentiable and Nondifferentiable Operator Equations [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2013
From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family
Miquel Noguera   +2 more
exaly   +2 more sources

Semilocal Convergence of the Secant Method Under Mild Convergence Conditions of Differentiability [PDF]

open access: yesComputers and Mathematics With Applications, 2002
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder ...
M Á Hernández
exaly   +2 more sources

A Modified Secant Method for Unconstrained Optimization

open access: yesApplied Mathematics and Computation, 2007
In this study, a modification of the classical Secant method for solving nonlinear, univariate and unconstrained optimization problems based on the development of the cubic approximation is presented.
Emin Kahya, Jinhai Chen
exaly   +2 more sources
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