Bibliographic Details
| Title: |
Directional Secant-Type Methods for Solving Equations. |
| Authors: |
Argyros, Ioannis1 ioannisa@cameron.edu, Hilout, Saïd2 said.hilout@math.univ-poitiers.fr |
| Source: |
Journal of Optimization Theory & Applications. May2013, Vol. 157 Issue 2, p462-485. 24p. |
| Subjects: |
Secant function, Nonlinear equations, Lipschitz spaces, Hypothesis, Hilbert space, Stochastic partial differential equations |
| Abstract: |
A semilocal convergence analysis for directional Secant-type methods in multidimensional space is provided. Using weaker hypotheses than the ones exploited by An and Bai, we provide a semilocal convergence analysis with the following advantages: weaker convergence conditions, larger convergence domain, finer error estimates on the distances involved, and more precise information on the location of the solution. A numerical example, where our results apply to solve an equation but not the ones of An and Bai, is also provided. In a second example, we show how to implement the method. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
