Results 151 to 160 of about 4,814 (186)

SOR-Secant Methods

SIAM Journal on Numerical Analysis, 1994
The paper introduces the families of (block) successive overrelaxation (SOR) quasi-Newton methods and (block) SOR-least-change secant updated (LCSU) methods for solving large systems of nonlinear equations. These are decomposition methods in the sense that different components of the system are evaluated at different points, and each iteration is a ...
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The method of secants

Computers & Graphics, 1991
Abstract The method of secants is defined. The convergence of the method is discussed and illustrated for some simple examples.
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On the secant method

Publicationes Mathematicae Debrecen, 1993
The author uses the secant method for solving a nonlinear operator equation in a Banach space setting. Assuming that the derivative of the governing operator is Hölder continuous and that the initial divided difference operator is invertible, he proves that the sequence produced by the secant iteration method converges to a unique solution of the ...
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Variants of Steffensen-secant method and applications

Applied Mathematics and Computation, 2010
Let \(f:D \rightarrow\mathbb R\) be a sufficiently differentiable function with a simple root \(a \in D\), with \(D \subset\mathbb R\) an open set. The authors define a parametric variant of the Steffensen-secant method as follows. Let \(A_{n+1} = f(x_n)\) and \(B_{n+1} = f(x_n+\lambda_nA_{n+1})\).
Quan Zheng 0002, Peng Zhao, Li Zhang, Wenchao Ma   +3 more
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The secant–homotopy continuation method

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GENERALIZED SECANT METHODS AND THEIR FRACTAL PATTERNS

Fractals, 2009
In this paper, a class of generalized secant methods was investigated. The convergence of these methods was discussed, and their striking fractal patterns are generated to represent the chaotic behavior of these methods in the complex plane.
Liu, Xiang-Dong, Zhang, Jin-Hai, Li, Zhi-Jie, Zhang, Jun-Xing   +3 more
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Theory of Multivariate Secant Methods

SIAM Journal on Numerical Analysis, 1979
We study multivariate secant methods for the solution off systems of nonlinear equations in complex n-dimensional space $(1 \leqq n < \infty )$. We prove a quantitative theorem about the convergence of such methods and consider the dependence of the order of convergence on the position of the iteration points by using the concept of a set of admissible
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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
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The Use of the Secant Method in Econometric Models

The Journal of Business, 1973
In working with econometric models, it may be desired to find values of policy (instrument) variables which are consistent with specified levels of target variables. Tinbergen's work on economic policy,' for instance, frequently involves solving a set of linear structural equations for those values of the instrument variables which will produce desired
Cooper, J Phillip, Fischer, Stanley
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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
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