Results 31 to 40 of about 4,814 (186)
Approximation Models of Orthodromic Navigation [PDF]
TransNav, 2011 The paper deals with two different approaches to orthodromic navigation approximation, the secant method and the tangent method. Two ways of determination of orthodromic interposition coordinates will be presented with the secant method.
Serđo Kos, David Brčic
doaj
Mathematics, 2022 The Jiles-Atherton model was widely used in the description of the system with hysteresis, and the solution for the model was important for real-time and high-precision control.
Guangming Xue +5 more
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Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan [PDF]
, 2023 The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article.
Hassan, Nurul Shayiddatul Asma
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On Convergence of the Secant Method
CoRRThe secant method, as an important approach for solving nonlinear equations, is introduced in nearly all numerical analysis textbooks. However, most textbooks only briefly address the Q-order of convergence of this method, with few providing rigorous mathematical proofs.
Yan Tan +3 more
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A Method to Accelerate the Convergence of the Secant Algorithm [PDF]
Advances in Numerical Analysis, 2014 We present an acceleration technique for the Secant method. The Secant method is a root-searching algorithm for a general function f. We exploit the fact that the combination of two Secant steps leads to an improved, so-called first-order approximant of the root. The original Secant algorithm can be modified to a first-order accelerated algorithm which
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Sizing and Least-Change Secant Methods [PDF]
SIAM Journal on Numerical Analysis, 1993 This paper studies a new secant update for nonlinear minimization. This update is based on a least-change principle involving the matrix trace: Consequently, all eigenvalues are taken into account in the determination of the update. In addition to motivation and analysis, computational results/comparisons are provided.
Dennis, J. E. jun., Wolkowicz, Henry
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Directional secant method for nonlinear equations
, 2005 We present a directional secant method, a secant variant of the directional Newton method, for solving a single nonlinear equation in several variables. Under suitable assumptions, we prove the convergence and the quadratic convergence speed of this new ...
Bai, Zhong-Zhi, An, Heng-Bin
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Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations [PDF]
, 2013 From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family
Ezquerro, J.A. [0000-0001-8120-167X] +3 more
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A New Technique to Compute Complex Roots [PDF]
Kirkuk Journal of Science, 2010 In this paper we modified Newton – Raphson and Secant methods to Complex form, then from that we get new iterative formula to them, named Newton (Secant) real iteration formula and Newton (Secant) imaginary iteration formula, real iteration used to find
Sasan A. Muheadden
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A secant-based Nesterov method for convex functions [PDF]
, 2016 A simple secant-based fast gradient method is developed for problems whose objective function is convex and well-defined. The proposed algorithm extends the classical Nesterov gradient method by updating the estimate-sequence parameter with secant ...
Heath, William, Alli-Oke, Razak
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