Results 231 to 240 of about 645,761 (266)

Local convergence of a secant type method for solving least squares problems

Applied Mathematics and Computation, 2010
The problem of approximating a solution of the nonlinear least square problem is considered. This problem can be solved by Gauss-Newton-type methods. A new local convergence analysis for the iterative method, alternative to Gauss-Newton type methods is provided. This method uses the special choice of a linear operator which is a divided difference or a
Hongmin Ren, Ioannis K Argyros
exaly   +2 more sources

Global convergence of improved Chebyshev-Secant type methods

The Journal of Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadav, Nisha, Singh, Sukhjit
openaire   +2 more sources

On the local convergence of secant-type methods

International Journal of Computer Mathematics, 2004
In this article, we carry out a local convergence study for Secant-type methods. Our goal is to enlarge the radius of convergence, without increasing the necessary hypothesis. Finally, some numerical tests and comparisons with early results are analyzed.
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez   +2 more
openaire   +1 more source

Convergence analysis of the secant type methods

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinhai Chen, Zuhe Shen
openaire   +1 more source

Secant-type methods and nondiscrete induction

Numerical Algorithms, 2012
For solving the equation \(f(x)= 0\), where \(f\) is a Fréchet-differentiable operator defined on a subset \(D\) of a Banach space \(X\) with values in a Banach space \(Y\), the authors consider secant-type methods based on the concept of nondiscrete mathematical induction.
Ioannis K. Argyros, Saïd Hilout
openaire   +1 more source

Directional Secant-Type Methods for Solving Equations

Journal of Optimization Theory and Applications, 2012
The article of I. K. Argyros and S. Hilout is a valuable contribution to the calculus of solving equations with a special motivation and application in optimization, especially. This investigation takes place in a wide model setting, and it employs numerical analysis by addressing some of its basic solution techniques in a rather advanced way.
Ioannis K. Argyros, Saïd Hilout
openaire   +1 more source

Chebyshev-Secant-type Methods for Non-differentiable Operators

Milan Journal of Mathematics, 2012
Let \(F:\Omega\subset X\rightarrow Y\) be a nonlinear operator defined on a non-empty open convex domain of a Banach space \(X\) with values in a Banach space \(Y\). The following Chebyshev-secant-type method was introduced by same authors in [J. Comput. Appl. Math. 235, No.
Argyros, I. K., Ezquerro, J. A., Gutiérrez, J. M., Hernández, M. A., Hilout, S.   +4 more
openaire   +2 more sources

Modified Secant-type methods for unconstrained optimization

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Semilocal Convergence of a Secant–Type Method for Solving Generalized Equations

Positivity, 2006
Let \(X,Y\) be two Banach spaces and let \(f:X\rightarrow Y\) be continuous and \(G:X\rightarrow \mathcal{P}(Y)\) be a set-valued map with closed graph. In order to solve the inclusion \[ 0\in f(x)+G(x), \] the authors consider the iterative method defined by \(x_0,x_1\in X\) and \[ y_k=\alpha x_k+(1-\alpha)x_{k-1},\;0\in f(x_k)+[y_k,x_k;f](x_{k+1}-x_k)
Hilout, Said, Piétrus, Alain
openaire   +3 more sources

Local convergence of efficient Secant-type methods for solving nonlinear equations

Applied Mathematics and Computation, 2012
The paper deals with the problem of approximating a locally unique solution of a nonlinear equation \(F(x)= 0\), where \(F\) is defined on an open convex subset of a Banach space \(X\) with values in a Banach space \(Y\). Well-known methods are these of Newton and Chebyshev. In [J. Comput. Appl. Math. 235, No.
Hongmin Ren, Ioannis K. Argyros
openaire   +2 more sources