Results 241 to 250 of about 645,761 (266)

Accelerating order of convergence using secant type methods

Journal of Interdisciplinary Mathematics, 2017
AbstractBy amalgamating a secant type method and a Newton type method, another method of order 4 has been derived. The method has been supported by examples and has been compared with existing similar methods.
Divya Jain, Rashmi Bhardwaj, Iqbal Ahmad
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An Uniparametric Secant–Type Method for Nonsmooth Generalized Equations

Positivity, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal Secant-Type Methods for Operator Equations

Numerical Functional Analysis and Optimization, 2011
We prove an existence and uniqueness theorem for operator equations in Banach spaces with (generally non-differentiable) operators whose divided differences are Lipschitz continuous on operator's domain. The theorem makes possible to apply the concept of entropy optimality of iterative methods introduced in our earlier work to the class of secant-type ...
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Least change properties of ABS methods and their application in secant-type updates

Optimization Methods and Software, 1997
The symmetric ABS method is considered for solving matrix equations. A remarkable feature of this method is that, for a given matrix equation, it provides a Solution in closed form that has interesting least change properties. This result is exploited to establish secant-type updates by solving certain least change problems.
Zhang Jianzhong, Zhu Meifanci
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Methods of the secant type for systems of equations with symmetric jacobian matrix

Numerical Functional Analysis and Optimization, 1983
Symmetric methods (SS methods) of the secant type are proposed for systems of equations with symmetric Jacobian matrix. The SSI and SS2 methods generate sequences of symmetric matrices J and H which approximate the Jacobian matrix and inverse one, respectively. Rank-two quasi-Newton formulas for updating J and H are derived.
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A note on the convergence of the secant method for simple and multiple roots

Applied Mathematics Letters, 2003
Pedro Diez
exaly  

On a higher order Secant method

Applied Mathematics and Computation, 2003
Sérgio Amat, Sonia Busquier
exaly  

Convergence theory for the structured BFGS secant method with an application to nonlinear least squares

Journal of Optimization Theory and Applications, 1989
J E Dennis, Hector J Martinez, R A Tapia
exaly  

Improving the applicability of the secant method to solve nonlinear systems of equations

Applied Mathematics and Computation, 2014
Sérgio Amat, M A Hernández-Verón, M J Rubio   +2 more
exaly  

A new modified secant-like method for solving nonlinear equations

Computers and Mathematics With Applications, 2010
Jisheng Kou, Chuanqing Gu
exaly