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Secant Optimization Algorithm for efficient global optimization [PDF]
Scientific ReportsThis paper presents the Secant Optimization Algorithm (SOA), a novel mathematics-inspired metaheuristic derived from the Secant Method. SOA enhances search efficiency by repeating vector updates using local information and derivative approximations in ...
Mohammed Q. Ibrahim +4 more
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Convergence Conditions for the Secant Method [PDF]
Cubo, 2010 We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros +1 more
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Journal of Numerical Analysis and Approximation Theory, 1979 Not available.
F. A. Potra
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Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 This study discusses the analysis of the modification of Newton-Secant method and solving nonlinear equations having a multiplicity of by using a modified Newton-Secant method.
Juhari Juhari
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Extending the solvability of equations using secant-type methods in Banach space
Journal of Numerical Analysis and Approximation Theory, 2021 We extend the solvability of equations dened on a Banach space using numerically ecient secant-type methods. The convergence domain of these methods is enlarged using our new idea of restricted convergence region.
Ioannis K. Argyros, Santhosh George
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Application of a Generalized Secant Method to Nonlinear Equations with Complex Roots
Axioms, 2021 The secant method is a very effective numerical procedure used for solving nonlinear equations of the form f(x)=0. In a recent work (A. Sidi, Generalization of the secant method for nonlinear equations. Appl. Math. E-Notes, 8:115–123, 2008), we presented
Avram Sidi
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A superlinear iteration method for calculation of finite length journal bearing's static equilibrium position [PDF]
Royal Society Open Science, 2017 Solving the static equilibrium position is one of the most important parts of dynamic coefficients calculation and further coupled calculation of rotor system.
Wenjie Zhou +3 more
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A complete (48, 4)-arc in the Projective Plane Over the Field of Order Seventeen
مجلة بغداد للعلوم, 2021 The article describes a certain computation method of -arcs to construct the number of distinct -arcs in for . In this method, a new approach employed to compute the number of -arcs and the number of distinct arcs respectively. This approach is based on
zainab Shehab Hamed, J.W. Hirschfeld
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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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