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A quasi-Newton method for non-smooth equations

International Journal of Computer Mathematics, 2005
We introduce a quasi-Newton method for non-smooth equations. The proposed method is convergent and its convergence is q-superlinear. Some computational results are presented.
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Quasi-Newton methods for saddlepoints

Journal of Optimization Theory and Applications, 1985
The well-known quadratically convergent methods of the Huang type [cf. \textit{H. Y. Huang}, ibid. 5, 405-423 (1970; Zbl 0184.202) and \textit{H. Y. Huang} and \textit{A. V. Levy}, ibid. 6, 269-282 (1970; Zbl 0187.404)] to maximize or minimize a function \(f: {\mathbb{R}}^ n\to {\mathbb{R}}\) are generalized to find saddlepoints of f.
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Quasi-Newton methods with derivatives

Calcolo, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasi-Newton Methods

2023
Luigi Grippo, Marco Sciandrone
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A family of the quasi-Newton methods

TRU Mathematics, 1980
YAMAKI, NAOKAZU, YABE, HIROSHI
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A Proximal Quasi-Newton Trust-Region Method for Nonsmooth Regularized Optimization

SIAM Journal on Optimization, 2022
Aleksandr Aravkin   +2 more
exaly  

Convergence of quasi-Newton method with new inexact line search

Journal of Mathematical Analysis and Applications, 2006
Zhen-Jun Shi
exaly  

On the Similarities Between the Quasi-Newton Inverse Least Squares Method and GMRes

SIAM Journal on Numerical Analysis, 2010
Joris Degroote   +2 more
exaly  

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