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Enhancing grid stability using dynamic reserve power point tracking techniques. [PDF]
Kumar S +4 more
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Progressive damage mechanism of rock-anchoring interface under cyclic impact loading. [PDF]
Wang P +8 more
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Deflection Control of Concrete Wide Beams Supporting Columns Using CFRP Composites and Honeycomb Plates. [PDF]
Baatiah A +5 more
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On a higher order Secant method
Applied Mathematics and Computation, 2003A modified secant method is introduced for solving a nonlinear equation \(f(x)=0\). The secant of \(f(x)\) at \(x_{k}\) is replaced by a higher order approximation. It is show that this method can have quadratic convergence as the Newton method. Global monotonic convergence is proven for real functions.
Sérgio Amat, Sonia Busquier
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A modified Secant method for unconstrained optimization
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emin Kahya, Jinhai Chen
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Semilocal convergence of the secant method under mild convergence conditions of differentiability [PDF]
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, M J Rubio
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A note on the convergence of the secant method for simple and multiple roots [PDF]
The secant method is one of the most popular methods for root finding. Standard text books in numerical analysis state that the secant method is super linear: the rate of convergence is set by the gold number.
Pedro Diez
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A new modified secant-like method for solving nonlinear equations
In this paper, we present a new secant-like method for solving nonlinear equations. Analysis of the convergence shows that the asymptotic convergence order of this method is 1+3.
Jisheng Kou, Chuanqing Gu
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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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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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