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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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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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A proximal Newton-type method for equilibrium problems
Optimization Letters, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro Jorge Sousa dos Santos +2 more
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Weak convergence conditions for Inexact Newton-type methods
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K. Argyros, Saïd Hilout
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A Newton-Type Method and Applications
2018The framework of asymptotic analysis in singularly perturbed geometrical domains can be employed to produce two-term asymptotic expansions for a class of shape functionals. In Chap. 6 one-term expansions of functionals are required for algorithms of shape-topological optimization.
Antonio André Novotny +2 more
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Two-sided approximation for some Newton’s type methods
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tugal Zhanlav +2 more
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