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NONSEPARABLE: 作品数：32被引量：56H指数：4; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：杨珂吴江李云章何卫力吴沧浦更多>>; 相关机构：成都市科学技术情报研究所中国石油天然气集团公司西南财经大学北京工业大学更多>>; 相关期刊：《数理统计与管理》《Journal of Applied Mathematics and Physics》《Journal of Systems Engineering and Electronics》《Applied Mathematics》更多>>; 相关基金：国家自然科学基金北京市自然科学基金广东省自然科学基金中央高校基本科研业务费专项资金更多>>

Convergence of Bregman Alternating Direction Method of Multipliers for Nonseparable Nonconvex Objective with Linear Constraints: 《Journal of Applied Mathematics and Physics》2024年第2期639-660,共22页Xiaotong Zeng Junping Yao Haoming Xia; In this paper, our focus lies on addressing a two-block linearly constrained nonseparable nonconvex optimization problem with coupling terms. The most classical algorithm, the alternating direction method of multiplie...; 关键词：Nonseparable Nonconvex Optimization Bregman ADMM Kurdyka-Lojasiewicz Inequality

Convergence of Bregman Peaceman–Rachford Splitting Method for Nonconvex Nonseparable Optimization被引量：1: 《Journal of the Operations Research Society of China》2023年第4期707-733,共27页Peng-Jie Liu Jin-Bao Jian Bo He Xian-Zhen Jiang; supported by the National Natural Science Foundation of China(No.12171106);the Natural Science Foundation of Guangxi Province(Nos.2020GXNSFDA238017 and 2018GXNSFFA281007).; This work is about a splitting method for solving a nonconvex nonseparable optimization problem with linear constraints,where the objective function consists of two separable functions and a coupled term.First,based o...; 关键词：Nonconvex nonseparable optimization Peaceman-Rachford splitting method Bregman distance Kurdyka-Łojasiewicz inequality Convergence rate

Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems: 《Chinese Physics B》2023年第2期60-79,共20页朱贝贝纪伦祝爱卿唐贻发; supported by the National Natural Science Foundation of China (Grant Nos. 11901564 and 12171466)。; We propose efficient numerical methods for nonseparable non-canonical Hamiltonian systems which are explicit,K-symplectic in the extended phase space with long time energy conservation properties. They are based on ex...; 关键词：non-canonical Hamiltonian systems NONSEPARABLE explicit K-symplectic methods splitting method

The Banach Space of Multiply Excited Atoms: 《Journal of Applied Mathematics and Physics》2021年第12期3230-3239,共10页Hubert Klar; We present, for the first time, a unified description of adiabatic collision channels and the Wannier channel in electron-atom scattering. We identify the Wannier channel as the solution of a recently presented partia...; 关键词：Dominant Correlation Nonseparable Wave Equations Embedding of a Hilbert Space into a Banach Space

中国全要素能源效率评价研究——基于不可分的三阶段DEA模型被引量：28: 《数理统计与管理》2019年第3期418-432,共15页吴江谭涛杨珂杨君; 2017年度国家统计局统计信息技术与数据挖掘重点开放实验室开放课题(SDL201707);中央高校基本科研业务费专项资金资助项目(JBK1603152); 在中国经济增长和节能减排双重目标下,科学评价全要素能源效率并提出合理的发展对策具有十分重要的意义。本文考虑了指标之间的不可分性,使用NUSBM模型和ML指数测算了中国30省份2005-2015年的全要素能源效率,同时采用三阶段NUSBM-ML指...; 关键词：全要素能源效率 Nonseparable-Undesirable-SBM模型不可分的三阶段DEA模型比较分析

On the Coalitional Rationality and the Egalitarian Nonseparable Contribution: 《Applied Mathematics》2019年第5期363-370,共8页Irinel Dragan; In earlier works we introduced the Inverse Problem, relative to the Shapley Value, then relative to Semivalues. In the explicit representation of the Inverse Set, the solution set of the Inverse Problem, we built a fa...; 关键词：Shapley Value Egalitarian NONSEPARABLE CONTRIBUTION Inverse Set Family of ALMOST NULL GAMES Coalitional RATIONALITY

Convergence of Generalized Alternating Direction Method of Multipliers for Nonseparable Nonconvex Objective with Linear Constraints被引量：5: 《Journal of Mathematical Research with Applications》2018年第5期523-540,共18页Ke GUO Xin WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11571178;11801455);the Fundamental Research Funds of China West Normal University(Grant No.17E084); In this paper, we consider the convergence of the generalized alternating direction method of multipliers（GADMM） for solving linearly constrained nonconvex minimization model whose objective contains coupled functio...; 关键词：generalized alternating direction method of multipliers Kurdyka Lojasiewicz in-equality nonconvex optimization

First-Order Algorithms for Convex Optimization with Nonseparable Objective and Coupled Constraints被引量：7: 《Journal of the Operations Research Society of China》2017年第2期131-159,共29页Xiang Gao Shu-Zhong Zhang; National Science Foundation(No.CMMI-1462408)。; In this paper,we consider a block-structured convex optimization model,where in the objective the block variables are nonseparable and they are further linearly coupled in the constraint.For the 2-block case,we propos...; 关键词：First-order algorithms ADMM Proximal gradient method Convex optimization Iteration complexity

Construction of Balanced Orthogonal Nonseparable Multiwavelets: 《Chinese Quarterly Journal of Mathematics》2013年第3期462-467,共6页XIE Chang-zhen; A general method for constructing bidimensional orthogonal nonseparable mul- tiwavelets is presented. Moreover, this construction method can be extended to the con- struction of n-dimensional multiwavelets. In additio...; 关键词：MULTIWAVELETS NONSEPARABLE BALANCED ORTHOGONALITY

A Class of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)被引量：1: 《Journal of Mathematical Research with Applications》2013年第2期209-220,共12页Yanmei XUE Ning BI; Supported by the Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University; In this paper, we preseat a concrete method for constructing a class of compactly supported nonseparable orthogonal wavelet bases of L^2 （R^n）, n ≥ 2. The orthogonal wavelets are associated with dilation matrix α...; 关键词：NONSEPARABLE MULTIVARIATE ORTHOGONAL compactly supported stability.

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