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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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Newton-Type Minimization via the Lanczos Method
SIAM Journal on Numerical Analysis, 1984This paper discusses the use of the linear conjugate-gradient method (developed via the Lanczos method) in the solution of large-scale unconstrained minimization problems. It is shown how the equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define a modified Newton method which can be applied to problems ...
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On a general iterative scheme for newton-type methods
Numerical Functional Analysis and Optimization, 1988A class of Newton-type iterative processes for solving nonlinear operator equations in Banach spaces is described by a general scheme, in which the approximate inverses of the derivatives are obtained recursively. Convergence conditions as well as error estimates are given. Some particular cases are finally discussed.
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On the Analysis of Semismooth Newton-Type Methods for Composite Optimization
Journal of Scientific ComputingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang Hu +3 more
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Infinite-Dimensional Newton-Type Method
2019This chapter presents two numerical verification methods which are based on some infinite-dimensional fixed-point theorems. The first approach is a technique using sequential iteration. Although this method is simple and can be applied to general nonlinear functional equations in Banach spaces, the relevant compact map has to be retractive in some ...
Mitsuhiro T. Nakao +2 more
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Convergent newton method and neural network for the electric energy usage prediction
Information Sciences, 2022JOSÉ De Jesus Rubio +2 more
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Choosing the Forcing Terms in an Inexact Newton Method
SIAM Journal of Scientific Computing, 1996Stanley C Eisenstat, Homer F Walker
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