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INEXACT: 作品数：69被引量：91H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：黄记祖唐春明吕莹更多>>; 相关机构：山西工程职业技术学院广西大学北京师范大学香港大学更多>>; 相关期刊：《Journal of Beijing Institute of Technology》《中国多媒体与网络教学学报（电子版）》《Applied Mathematics and Mechanics(English Edition)》《World Journal of Nephrology》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划中国博士后科学基金更多>>

AN INEXACT PROXIMAL DC ALGORITHM FOR THE LARGE-SCALE CARDINALITY CONSTRAINED MEAN-VARIANCE MODEL IN SPARSE PORTFOLIO SELECTION: 《Journal of Computational Mathematics》2024年第6期1452-1501,共50页Mingcai Ding Xiaoliang Song Bo Yu; supported by the National Natural Science Foundation of China(Grant No.11971092);supported by the Fundamental Research Funds for the Central Universities(Grant No.DUT20RC(3)079)。; Optimization problem of cardinality constrained mean-variance(CCMV)model for sparse portfolio selection is considered.To overcome the difficulties caused by cardinality constraint,an exact penalty approach is employed...; 关键词：Sparse portfolio selection Cardinality constrained mean-variance model Inexact proximal difference-of-convex-functions algorithm Sieving strategy Decomposed strategy

ADAPTIVE REGULARIZED QUASI-NEWTON METHOD USING INEXACT FIRST-ORDER INFORMATION: 《Journal of Computational Mathematics》2024年第6期1656-1687,共32页Hongzheng Ruan Weihong Yang; supported by the National Natural Science Foundation of China(Grant No.NSFC-11971118).; Classical quasi-Newton methods are widely used to solve nonlinear problems in which the first-order information is exact.In some practical problems,we can only obtain approximate values of the objective function and i...; 关键词：Inexact first-order information REGULARIZATION Quasi-Newton method

METRICALLY REGULAR MAPPING AND ITS UTILIZATION TO CONVERGENCE ANALYSIS OF A RESTRICTED INEXACT NEWTON-TYPE METHOD: 《Journal of Computational Mathematics》2022年第1期44-69,共26页Mohammed Harunor Rashid; supported by CAS-President International Fellowship Initiative(PIFI)from the Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China.; In the present paper,we study the restricted inexact Newton-type method for solving the generalized equation 0∈f(x)+F(x),where X and Y are Banach spaces,f:X→Y is a Frechet differentiable function and F:X■Y is a set...; 关键词：Generalized equation Restricted inexact Newton-type method Metrically regular mapping Partial Lipschitz-like mapping Semilocal convergence.

ROBUST INEXACT ALTERNATING OPTIMIZATION FOR MATRIX COMPLETION WITH OUTLIERS被引量：1: 《Journal of Computational Mathematics》2020年第2期337-354,共18页Ji Li Jian-Feng Cai Hongkai Zhao; JL was supported by China Postdoctoral Science Foundation grant No.2017M620589;JFC was supported in part by Hong Kong Research Grant Council(HKRGC)grants 16300616 and 16306317;HK Zhao was supported in part by NSF grants DMS-1418422 and DMS-1622490.; We investigate the problem of robust matrix completion with a fraction of observation corrupted by sparsity outlier noise.We propose an algorithmic framework based on the ADMM algorithm for a non-convex optimization,w...; 关键词：Matrix completion ADMM Outlier noise Inexact projection

A MODIFIED PRECONDITIONER FOR PARAMETERIZED INEXACT UZAWA METHOD FOR INDEFINITE SADDLE POINT PROBLEMS: 《Journal of Computational Mathematics》2018年第4期579-590,共12页Xinhui Shao Chen Li Tie Zhang Changjun Li; The preconditioner for parameterized inexact Uzawa methods have been used to solve some indefinite saddle point problems. Firstly, we modify the preconditioner by making it more generalized, then we use theoretical an...; 关键词：PRECONDITIONER Inexace Uzawa method Saddle point problems Ndefiniteness CONVERGENCE

ON PMHSS ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS被引量：3: 《Journal of Computational Mathematics》2017年第5期600-619,共20页Yongxin Dong Chuanqing Gu; The modified Hermitian and skew-Hermitian splitting （MHSS） iteration method and preconditioned MHSS （PMHSS） iteration method were introduced respectively. In the paper, on the basis of the MHSS iteration method, w...; 关键词：Continuous Sylvester equation PMHSS iteration Inexact PMHSS iteration Preconditioning Convergence.

AN INEXACT SMOOTHING NEWTON METHOD FOR EUCLIDEAN DISTANCE MATRIX OPTIMIZATION UNDER ORDINAL CONSTRAINTS被引量：1: 《Journal of Computational Mathematics》2017年第4期469-485,共17页Qingna Li Houduo Qi; When the coordinates of a set of points are known, the pairwise Euclidean distances among the points can be easily computed. Conversely, if the Euclidean distance matrix is given, a set of coordinates for those points...; 关键词：Nonmetric multidimensional scaling Euclidean distance embedding Ordinalconstraints Smoothing Newton method.

INEXACT TWO-GRID METHODS FOR EIGENVALUE PROBLEMS: 《Journal of Computational Mathematics》2015年第6期557-575,共19页Qun Gu Weiguo Gao; The authors are grateful to Prof. Zhaojun Bai in University of Cali- fornia, Davis, and Prof. Carlos J. Garcia-Cervera in University of California, Santa Barbara for their helpful discussions. The authors are grateful to the editor and the referees for their valuable comments, which improves the quality of the paper greatly. Weiguo Gao is supported by the National Natural Science Foundation of China under grants 91330202, Special Funds for Major State Basic Research Projects of China （2015CB858560003）, and Shanghai Science and Technology Development Funds 13dz2260200 and 13511504300. Qun Gu acknowledges the financial support from China Scholarship Council （No. 2011610055）.; We discuss the inexact two-grid methods for solving eigenvalue problems, including both partial differential and integral equations. Instead of solving the linear system exactly in both traditional two-grid and accele...; 关键词：INEXACT Two-grid EIGENVALUE EIGENVECTOR Finite element method Conver-gence rate.

ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS被引量：24: 《Journal of Computational Mathematics》2011年第2期185-198,共14页Zhong-Zhi Bai; We present a Hermitian and skew-Herrnitian splitting （HSS） iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semi- definite matrices. The unconditional...; 关键词：Continuous Sylvester equation HSS iteration method Inexact iteration Convergence.

A LQP BASED INTERIOR PREDICTION-CORRECTION METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS被引量：5: 《Journal of Computational Mathematics》2006年第1期33-44,共12页Bing-sheng He Li-zhi Liao Xiao-ming Yuan; To solve nonlinear complementarity problems （NCP）, at each iteration, the classical proximal point algorithm solves a well-conditioned sub-NCP while the Logarithmic-Quadratic Proximal （LQP） method solves a system ...; 关键词：Logarithmic-Quadratic proximal method Nonlinear complementarity problems Prediction-correction Inexact criterion

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