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On the convergence of inexact quasi-newton methods
International Journal of Computer Mathematics, 1989This paper is concerned with quasi-Newton methods for solving systems of nonlinear equations, which make use of least-change secant updates. In the course of the iterative process, errors may be introduced and so the sequence actually computed differs from that produced in theory.
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A quasi-Newton method for non-smooth equations
International Journal of Computer Mathematics, 2005We 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, 1985The 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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A family of the quasi-Newton methods
TRU Mathematics, 1980YAMAKI, NAOKAZU, YABE, HIROSHI
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On Quasi-Newton Methods in Fast Fourier Transform-Based Micromechanics
International Journal for Numerical Methods in Engineering, 2020Thomas Böhlke +2 more
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New Quasi-Newton Methods for Unconstrained Optimization Problems
Applied Mathematics and Computation, 2006Liqun Qi, Guoyin Li, Zengxin Wei
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Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems
SIAM Journal on Optimization, 1997Defeng Sun, Jiye Han
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