Výsledky vyhledávání - locally convergence nonlinear programming algorithms

A Lagrange–Newton algorithm for sparse nonlinear programming Autor Zhao, Chen, Xiu, Naihua, Qi, Houduo, Luo, Ziyan

“…The sparse nonlinear programming (SNP) problem has wide applications in signal and image processing, machine learning and finance, etc…”
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Nonlinear Perturbation-Based Non-Convex Optimization Over Time-Varying Networks Autor Doostmohammadian, Mohammadreza, Gabidullina, Zulfiya R., Rabiee, Hamid R.

“… the solution to locally non-convex objective functions. In contrast to batch gradient optimization in some literature, our algorithm is on a single-time scale with no extra inner consensus loop…”
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Convergence Analysis of Difference-of-Convex Algorithm with Subanalytic Data Autor Le Thi, Hoai An, Huynh, Van Ngai, Pham Dinh, Tao

“…Difference-of-Convex programming and related algorithms, which constitute the backbone of nonconvex programming and global optimization, were introduced in 1985 by Pham Dinh Tao and have been…”
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A Lagrange-Newton algorithm for tensor sparse principal component analysis Autor Li, Shuai, Luo, Ziyan, Chen, Yang

“…This paper is concerned with the tensor sparse principal component analysis (TSPCA) by obtaining principal components which are linear combinations of a small…”
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Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results Autor Cartis, Coralia, Gould, Nicholas I. M., Toint, Philippe L.

“…An Adaptive Regularisation algorithm using Cubics (ARC) is proposed for unconstrained optimization, generalizing at the same time an unpublished method due to Griewank…”
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A locally and cubically convergent algorithm for computing ð'µ‐eigenpairs of symmetric tensors Autor Zhao, Ruijuan, Zheng, Bing, Liang, Maolin, Xu, Yangyang

“…‐eigenpairs of a symmetric tensor is equivalent to finding the nonzero solutions of a nonlinear system of equations, and then propose a modified normalized Newton method (MNNM…”
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A stabilized filter SQP algorithm for nonlinear programming Autor Shen, Chungen, Zhang, Lei-Hong, Liu, Wei

“…This paper presents a stabilized filter sequential quadratic programming (SQP) method for the general nonlinear optimization problems…”
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A nonlinear Lagrangian based on Fischer-Burmeister NCP function Autor Ren, Yong-Hong, Zhang, Li-Wei, Xiao, Xian-Tao

“… The convergence theorem shows that the sequence of points generated by this nonlinear Lagrange algorithm is locally convergent when the penalty parameter is less than a threshold under a set…”
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Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming Autor Chen, Liang, Zhu, Junyuan, Zhao, Xinyuan

“… Subsequently, we demonstrate that for the three typical scenarios, i.e., the classic nonlinear programming…”
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An interior-point trust-region algorithm to solve a nonlinear bilevel programming problem Autor El-Sobky, B., Ashry, G.

“… The proposed algorithm is proved to be stable and capable of generating approximal optimal solution to the nonlinear bilevel programming problem…”
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Mixed Monotonic Programming for Fast Global Optimization Autor Matthiesen, Bho, Hellings, Christoph, Jorswieck, Eduard A., Utschick, Wolfgang

“… Therefore, locally optimal approaches or other efficient suboptimal heuristics are usually applied for practical implementations…”
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Simple Algorithms for Optimization on Riemannian Manifolds with Constraints Autor Liu, Changshuo, Boumal, Nicolas

“… A large body of work treats constrained optimization in Euclidean spaces. In this work, we consider extensions of existing algorithms from the Euclidean case to the Riemannian case…”
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A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis Autor Luo, Li, Shiu, Wen-Shin, Chen, Rongliang, Cai, Xiao-Chuan

“…•We develop a nonlinear preconditioner for a realistic blood flow problem.•The problem includes patient-specific artery with stenosis and realistic parameters…”
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Distributed nonconvex constrained optimization over time-varying digraphs Autor Scutari, Gesualdo, Sun, Ying

“… The proposed distributed method combines successive convex approximation techniques with a judiciously designed perturbed push-sum consensus mechanism that aims to track locally the gradient of the (smooth part of the) sum-utility…”
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Adaptive dynamic programming Autor Murray, J.J., Cox, C.J., Lendaris, G.G., Saeks, R.

“… constraint and guarantee convergence is required. The objective of the paper is to describe an adaptive dynamic programming algorithm (ADPA…”
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The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces Autor Li, Jianliang, Sun, Guanying, Zhang, Bo

“…This paper is concerned with the inverse problem of reconstructing an infinite, locally rough interface from the scattered field measured on line segments above and below the interface in two dimensions…”
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A Two-Step Newton Algorithm for the Weighted Complementarity Problem with Local Biquadratic Convergence Autor Liu, Xiangjing, Liu, Yihan, Zhang, Jianke

“… Smoothing Newton algorithms, known for their at least locally superlinear convergence properties, have been widely applied to solve WCPs…”
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Nonlinear Analysis: Algorithm, Convergence, and Applications 2014 Autor Song, Yisheng, Chen, Rudong, Li, Guoyin, Yang, Changsen, Yu, Gaohang

“…The article by H. Wang et al. considered the Cauchy problem for a fifth-order equation and proved its locally well-posed for the initial data in the Sobolev space [figure omitted; refer to PDF] with [figure omitted; refer to PDF…”
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Invariant Adaptive Dynamic Programming for Discrete-Time Optimal Control Autor Zhu, Yuanheng, Zhao, Dongbin, He, Haibo

“… An invariant adaptive dynamic programming algorithm is developed to extend the method to scenarios where system dynamics is not available. Online data are utilized to learn the near-optimal policy and the invariantly admissible region. Simulated experiments verify the effectiveness of our method…”
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A Unified Perspective on Multiple Shooting In Differential Dynamic Programming Autor Li, He, Yu, Wenhao, Zhang, Tingnan, Wensing, Patrick M.

“…Differential Dynamic Programming (DDP) is an efficient computational tool for solving nonlinear optimal control problems…”
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