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Newton-Type Methods: A Broader View
Journal of Optimization Theory and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexey F. Izmailov, Mikhail V. Solodov
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Newton-type method for solving generalized inclusion
Numerical Algorithms, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paulo Sérgio Marques dos Santos +2 more
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Slope tests for newton-type methods
Applied Mathematics and Computation, 1992Suppose we are given a function \(f: \mathbb{R}^ n\to\mathbb{R}^ n\), with \(f\in C^ 1(D)\), \(D\subseteq\mathbb{R}^ n\). \textit{M. C. Pandian} [SIAM J. Numer. Anal. 22, 779-791 (1985; Zbl 0586.65041)] gave existence and uniqueness tests for a zero \(x^*\) of \(f\) in a rectangular subset \(X\subset D\).
Shen, Zuhe, Wolfe, M. A.
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Newton-Type Methods for Quasidifferentiable Equations
Journal of Optimization Theory and Applications, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, L. W., Xia, Z. Q.
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A quasi-Newton type method for equilibrium problems
Numerical Algorithms, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonardo A. Sousa +3 more
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On the convergence of an inexact Newton-type method
Operations Research Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guanglu Zhou, Liqun Qi 0001
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Newton-Type Methods in Array Processing
IEEE Signal Processing Letters, 2004Despite their good features, Newton-type methods are not usually employed in array processing due to the lack of appropriate formulas for the first- and second-order differentials. One specific property of most array processing models is that each column of the signal matrix depends only on the corresponding element of one or more parameter vectors. In
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A note on Newton type iterative methods
Computing, 1984Some particular real functions are related to the so called Newton type iterative processes, i.e. iterations of the form \(x_{n+1}=x_ n-A(x_ n)^{-1}F(x_ n),\) which solve nonlinear operator equations in Banach spaces. This allows to obtain, at the same time, convergence conditions and a posteriori error estimates.
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On a Newton Type Iterative Method for Solving Inclusions
Mathematics of Operations Research, 1995We introduce a notion of strict differentiability for multifunctions by means of a notion of tangency based on a uniform property of Clarke's tangent cone. Given a multifunction G and a point (a, b) ∈ G and assuming that the derivative DG(a, b) is surjective and has a bounded inverse, we build a sequence ((xn, yn)) ⊂ G, such that d(xn+1 − xn, DG(a, b)−
Dominique Azé, C. C. Chou
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On a two-step relaxed Newton-type method
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Amat +2 more
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