云南高校图书馆联盟文献共享服务平台- SMOOTH

SMOOTH: 作品数：571被引量：1023H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：王延军马保国张杰胡晓楠孟广武更多>>; 相关机构：延安大学聊城大学北方工业大学首都师范大学更多>>; 相关期刊：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陕西省教育厅科研计划项目延安大学重点科研项目更多>>

SOLVING OPTIMIZATION PROBLEMS OVER THE STIEFEL MANIFOLD BY SMOOTH EXACT PENALTY FUNCTIONS: 《Journal of Computational Mathematics》2024年第5期1246-1276,共31页Nachuan Xiao Xin Liu; the National Natural Science Foundation of China(Grant Nos.12125108,11971466,12288201,12021001,11991021);the Key Research Program of Frontier Sciences,Chinese Academy of Sciences(Grant No.ZDBS-LY-7022).; In this paper,we present a novel penalty model called ExPen for optimization over the Stiefel manifold.Different from existing penalty functions for orthogonality constraints,ExPen adopts a smooth penalty function wit...; 关键词：Orthogonality constraint Stiefel manifold Penalty function

ESTIMATION AND UNCERTAINTY QUANTIFICATION FOR PIECEWISE SMOOTH SIGNAL RECOVERY: 《Journal of Computational Mathematics》2023年第2期246-262,共17页Victor Churchill Anne Gelb; supported in part by NSF-DMS 1502640,NSF-DMS 1912685,AFOSR FA9550-18-1-0316;Office of Naval Research MURI grant N00014-20-1-2595.; This paper presents an application of the sparse Bayesian learning(SBL)algorithm to linear inverse problems with a high order total variation(HOTV)sparsity prior.For the problem of sparse signal recovery,SBL often pro...; 关键词：High order total variation regularization Sparse Bayesian learning Analysis and synthesis Piecewise smooth function recovery

A STOCHASTIC MOVING BALLS APPROXIMATION METHOD OVER A SMOOTH INEQUALITY CONSTRAINT: 《Journal of Computational Mathematics》2020年第3期528-546,共19页Leiwu Zhang; We consider the problem of minimizing the average of a large number of smooth component functions over one smooth inequality constraint.We propose and analyze a stochastic Moving Balls Approximation(SMBA)method.Like s...; 关键词：Smooth convex constrained minimization.Large scale problem.Moving Balls Approximation Regularized logistic regression

EXTRAPUSH FOR CONVEX SMOOTH DECENTRALIZED OPTIMIZATION OVER DIRECTED NETWORKS被引量：3: 《Journal of Computational Mathematics》2017年第4期383-396,共14页Jinshan Zeng WotaoYin; In this note, we extend the algorithms Extra [13] and subgradient-push [I0] to a new algorithm ExtraPush for consensus optimization with convex differentiable objective functions over a directed network. When the stat...; 关键词：Decentralized optimization Directed graph CONSENSUS Non-doubly stochastic Extra.

ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS被引量：5: 《Journal of Computational Mathematics》2010年第6期745-766,共22页Hua Dai Zhong-Zhi Bai; supported by the National Basic Research Program(No.2005CB321702);the China Outstanding Young Scientist F0undation(No.10525102);the National Natural Science Foundation (No.10471146),P.R.China; We study the smooth LU decomposition of a given analytic functional A-matrix A（A） and its block-analogue. Sufficient conditions for the existence of such matrix decompositions are given, some differentiability about...; 关键词：Matrix-valued function Smooth LU decomposition PIVOTING Nonlinear eigenvalue problem Multiple eigenvalue Newton method.

COMPUTATION OF NONEQUILIBRIUM HYPERSONIC FLOW OVER CONCAVE CORNERS: 《Journal of Computational Mathematics》2001年第6期617-628,共12页Taehoon Park You-lan Zhu; This work was partially supported by the North Carolina Supercomputing Center.; Discusses a technique for the computation of hypersonic flow of air with chemical reactions over concave corners. Details of smooth transformation of domain; Use of finite difference method; Numerical results.; 关键词：Shock fitting Smooth transformation of domain Finite difference method Implicit method.

THE NUMERICAL SOLUTION OF FIRST KIND INTEGRAL EQUATION FOR THE HELMHOLTZ EQUATION ON SMOOTH OPEN ARCS被引量：1: 《Journal of Computational Mathematics》2001年第5期489-500,共12页Tang, WJ Fu, HY Shen, LJ; the National Natural Science Foundation of China 19901004-1.; Presents a study which proposed a numerical solution of first kind integral equation for the Helmholtz equation on smooth open arcs. Quadrature method used; Numerical examples.; 关键词：Helmholtz equation quadrature method

A SUPERONVERGENCE ANALYISIS FOR FINITE ELEMENT SOLUTION BY THE INTERPOLANT POSTPROCESSING ON IRREGULAR MESHES FOR SMOOTH PROBLEM: 《Journal of Computational Mathematics》2001年第3期323-326,共4页Qi-ding Zhu Qun Lin; the Foundation of Natonal Natural Science of China and the Foundation of Aducation of Hunan Province.; The post-processing procedure is given by a interpolant postprocessing of the finit element solution by appropriately-define finite dimensional subspaces, The corresponding superconvergence are established on general ...; 关键词：finite element superconvergence interpolant postprocessing

A MODIFIED ALGORITHM OF FINDING AN ELEMENT OF CLARKE GENERALIZED GRADIENT FOR A SMOOTH COMPOSITION OF MAX-TYPE FUNCTIONS A MODIFIED ALGORITHM OF FINDING AN ELEMENT OF CLARKE GENERALIZED GRADIENT FOR A SMOOTH COMPOSITION OF MAX-TYPE FUNCTIONS: 《Journal of Computational Mathematics》2000年第5期513-520,共8页Yan Gao (Department of Basic Science, China University of Mining and Technology-Beijing, Beijing 100083, china); This project is supported by the Science Function of Liaoning Province.; This paper refers to Clarke generalized gradient for a smooth composition of max-type functions of the form: f(x) = g(x, maxj∈J1 f1j(x),''', maxj∈Jm fmj(x)), where x ∈Rn, Ji, i = 1,''',m are finite index sets, g an...; 关键词：Nonsmooth optimization Clarke generalized gradient Max-type function.

ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT被引量：2: 《Journal of Computational Mathematics》1995年第4期343-350,共8页Z.X. Luo(Institute of Mathematical Sciences, Dalian University of Technology, Dalian, China); The aim of this paper is to lay a algebraic geometry foundation for constructing smoothing interpolants on curved side element. Some interpolation theorems in polynomial space are given. The main results effectively f...; 关键词：CAGD Wang Rational ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT

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