Results 11 to 20 of about 4,814 (186)
The Secant method for nondifferentiable operators [PDF]
Applied Mathematics Letters, 2002 In this paper, we use the Secant method to find a solution of a nonlinear operator equation in Banach spaces. A semilocal convergence result is obtained. For that, we consider a condition for divided differences which generalizes the usual ones, i.e., Lipschitz continuous or Hölder continuous conditions. Besides, we apply our results to approximate the
Hernández, M.A., Rubio, M.J.
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Journal of Complexity, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K. Argyros, Sanjay Kumar Khattri
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Global dynamics of the real secant method* [PDF]
Nonlinearity, 2019 Abstract We investigate the root finding algorithm given by the secant method applied to a real polynomial p as a discrete dynamical system defined on .
Garijo Real, Antonio +1 more
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EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS [PDF]
Bulletin of the Korean Mathematical Society, 2015 We present new sufficient convergence criteria for the convergence of the secant-method to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center–Lipschitz instead of just Lipschitz conditions in the convergence analysis.
Alberto Magreñán, null +1 more
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Weaker convergence conditions for the secant method [PDF]
Applications of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Argyros, Ioannis K., Hilout, Saïd
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Semilocal convergence conditions for the secant method, using recurrent functions
Journal of Numerical Analysis and Approximation Theory, 2011 Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
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A modified secant method for semismooth equations
Applied Mathematics Letters, 2003 The authors report a modified secant method to calculate numerical approximations of zeros of semismooth functions. Convergence analysis, as well as preliminary illustrative results for two equations are presented.
Sergio Amat, Sonia Busquier
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A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations [PDF]
Journal of Applied Mathematics, 2012 We propose an approach to enhance the performance of a diagonal variant of secant method for solving large-scale systems of nonlinear equations. In this approach, we consider diagonal secant method using data from two preceding steps rather than a single
M. Y. Waziri, W. J. Leong, M. Mamat
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A non-Secant quasi-Newton Method for Unconstrained Nonlinear Optimization
Cogent Engineering, 2022 The Secant equation has long been the foundation of quasi-Newton methods, as updated Hessian approximations satisfy the equation with each iteration. Several publications have lately focused on modified versions of the Secant relation, with promising ...
Issam A.R. Moghrabi
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Study on the size effect of the secant modulus of rocks containing multiple parallel joints
Frontiers in Materials, 2022 The secant modulus of the rock reflects the stiffness of the rock and the ability to resist deformation. There are significant differences in the secant modulus of the rock due to the different numbers of joints in the rock and the change in rock size ...
Jing Zhang +7 more
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