Results 241 to 250 of about 10,995,154 (282)
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BIT Numerical Mathematics, 1975
It is conjectured that the secant method converges linearly to a root of multiplicitym. In support of this, it is proved that the linearized secant method produces a bounded sequence of approximations except for a restricted set of values of the two initial approximations.
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It is conjectured that the secant method converges linearly to a root of multiplicitym. In support of this, it is proved that the linearized secant method produces a bounded sequence of approximations except for a restricted set of values of the two initial approximations.
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Semilocal convergence of the secant method under mild convergence conditions of differentiability [PDF]
Computers 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 A Hernández
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On the Superlinear Convergence of the Secant Method
The American Mathematical Monthly, 1992(1992). On the Superlinear Convergence of the Secant Method. The American Mathematical Monthly: Vol. 99, No. 8, pp. 758-761.
VIANELLO, MARCO, ZANOVELLO R.
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Secant methods for semismooth equations
Numerische Mathematik, 1998The authors present some generalizations of the secant method to semismooth equations. After a review of relevant results about semismooth operators, the superlinear convergence of the classical secant method for one-dimensional, general semismooth equations is proved and a new quadratically convergent method is proposed.
Florian A. Potra +2 more
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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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Abstract The method of secants is defined. The convergence of the method is discussed and illustrated for some simple examples.
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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 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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Variants of Steffensen-secant method and applications
Applied Mathematics and Computation, 2010Let \(f:D \rightarrow\mathbb R\) 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 +3 more
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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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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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The Use of the Secant Method in Econometric Models
The Journal of Business, 1973In 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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The secant–homotopy continuation method
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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