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Improving the Dung Beetle Optimizer with Multiple Strategies: An Application to Complex Engineering Problems. [PDF]
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Convergence ball and error analysis of Müller’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingbiao Wu, Hongmin Ren, Weihong Bi
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Convergence ball and error analysis of a family of iterative methods with cubic convergence
Applied Mathematics and Computation, 2009A family of iterative methods covering various third order variants of Newton's method is proposed, and their convergence is studied. Assuming Lipschitz continuous second derivatives, cubic convergence is obtained. Some numerical examples are included.
Hongmin Ren, Qingbiao Wu
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Convergence ball of a modified secant method with convergence order 1.839…
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmin Ren, Qingbiao Wu
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Convergence ball and error analysis of Ostrowski-Traub’s method
Applied Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingbiao Wu, Wu Qing-Biao
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Homocentric convergence ball of the secant method
Applied Mathematics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Complexity, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmin Ren, Ioannis K Argyros
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmin Ren, Ioannis K Argyros
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Convergence ball of iterations with one parameter
Applied Mathematics, 2005This article looks at a general family of iterative methods with one parameter to solve the equation \(F(\vec{x})=0\), which includes the super-Halley, the Chebyshev as well as the Halley method. Under a weak Lipschitz condition the author proves a convergence theorem and estimates the convergence radius.
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Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization
SIAM Journal on Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-François Aujol, Aude Rondepierre
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