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A NON-MONOTONE SMOOTHING NEWTON ALGORITHM FOR SOLVING THE SYSTEM OF GENERALIZED ABSOLUTE VALUE EQUATIONS: 《Journal of Computational Mathematics》2025年第2期438-460,共23页Cairong Chen Dongmei Yu Deren Han Changfeng Ma; supported by the Natural Science Foundation of Fujian Province(Grant No.2021J01661);by the National Natural Science Foundation of China(Grant No.11901024);supported by the National Natural Science Foundation of China(Grant No.12201275);by the Ministry of Education in China of Humanities and Social Science Project(Grant No.21YJCZH204);by the Liaoning Provincial Department of Education(Grant No.JYTZD2023072);supported by the National Natural Science Foundation of China(Grant No.12131004);by the Ministry of Science and Technology of China(Grant No.2021YFA1003600);supported by the National Key Research and Development Program of China(Grant No.2019YFC0312003).; The system of generalized absolute value equations(GAVE)has attracted more and more attention in the optimization community.In this paper,by introducing a smoothing function,we develop a smoothing Newton algorithm wit...; 关键词：Generalized absolute value equations Smoothing function Smoothing Newton algorithm Non-monotone line search Global and local quadratic convergence

THEORETICAL ANALYSIS OF THE REPRODUCING KERNEL GRADIENT SMOOTHING INTEGRATION TECHNIQUE IN GALERKIN MESHLESS METHODS被引量：1: 《Journal of Computational Mathematics》2023年第3期501-524,共24页Xiaolin Li; National Natural Science Foundation of China(Grant No.11971085);Natural Science Foundation of Chongqing(Grant No.cstc2021jcyj-jqX0011)。; Numerical integration poses greater challenges in Galerkin meshless methods than finite element methods owing to the non-polynomial feature of meshless shape functions.The reproducing kernel gradient smoothing integra...; 关键词：Galerkin meshless method Numerical integration Quadrature rule Error estimates Element-free Galerkin method Degree of precision

CONSTRUCTION OF CUBATURE FORMULAS VIA BIVARIATE QUADRATIC SPLINE SPACES OVER NON-UNIFORM TYPE-2 TRIANGULATION: 《Journal of Computational Mathematics》2022年第2期205-230,共26页Jiang Qian Xiquan Shi Jinming Wu Dianxuan Gong; This work was supported by the Fundamental Research Funds for the Central Universities of Hohai University(Grant No.2019B19414,2019B44914);the Natural Science Foundation of Jiangsu Province for the Youth(Grant No.BK20160853);Key Laboratory of Ministry of Education for Coastal Disaster and Protection,Hohai University(Grant No.202011);the National Natural Science Foundation of China(Grant No.11601151);the National Science Foundation of Zhejiang Province(Grant No.LY19A010003).; In this paper,matrix representations of the best spline quasi-interpolating operator over triangular sub-domains in S_(2)^(1)(△_(mn)^(2),and coefficients of splines in terms of B-net are calculated firstly.Moreover,b...; 关键词：Multivariate spline Bivariate cubature Conformality of Smoothing Cofactor Method B-net Non-uniform Type-2 Triangulation

ON THE PROBLEM OF INSTABILITY IN THE DIMENSIONS OF SPLINE SPACES OVER T-MESHES WITH T-CYCLES被引量：2: 《Journal of Computational Mathematics》2015年第3期248-262,共15页Qing-Jie Guo Ren-Hong Wang Chong-Jun Li; Acknowledgments. This work is partly supported by the National Natural Science Foundation of China （Nos. 11290143, Ul135003, 11471066, 11271060, 11301052）, Fundamental Research of Civil Aircraft （No. MJ-F-2012-04）, and the Fundamental Research Funds for the Central Universities （Nos. DUT13LK07, DUT13LK45, DUT14YQ111）.; The T-meshes are local modification of rectangular meshes which allow T-junctions. The splines over T-meshes are involved in many fields, such as finite element methods, CAGD etc. The dimension of a spline space is a ...; 关键词：Spline space Smoothing cofactor-conformality method Instability in the dimension T-meshes.

A SMOOTHING TRUST REGION METHOD FOR NCPS BASED ON THE SMOOTHING GENERALIZED FISCHER-BURMEISTER FUNCTION: 《Journal of Computational Mathematics》2011年第3期261-286,共26页Xuebin Wang Changfeng Ma Meiyan Li; Acknowledgments. The work was supported by the National Natural Science Foundation of China （11071041） and Fujian Natural Science Foundation （2009J01002）.; Based on a reformulation of the complementarity problem as a system of nonsmooth equations by using the generMized Fischer-Burmeister function, a smoothing trust re- gion Mgorithm with line search is proposed for solv...; 关键词：Nonlinear complementarity problem Smoothing method Trust region method Global convergence Local superlinear convergence.

ON KARUSH-KUHN-TUCKER POINTS FOR A SMOOTHING METHOD IN SEMI-INFINITE OPTIMIZATION: 《Journal of Computational Mathematics》2006年第6期719-732,共14页Oliver Stein; We study the smoothing method for the solution of generalized semi-infinite optimization problems from （O. Stein, G. Still： Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control...; 关键词：Generalized semi-infinite optimization Stackelberg game Constraint qualifi-cation SMOOTHING NCP function.

NEW PROOF OF DIMENSION FORMULA OF SPLINE SPACES OVER T-MESHES VIA SMOOTHING COFACTORS被引量：5: 《Journal of Computational Mathematics》2006年第4期501-514,共14页Zhang-jin Huang Jian-song Deng Yu-yu Feng Fa-lai Chen; A T-mesh is basically a rectangular grid that allows T-junctions. Recently, Deng etal introduced splines over T-meshes, which are generalizations of T-splines invented by Sederberg etal, and proposed a dimension formu...; 关键词：Spline space T-mesh Smoothing cofactors.

SMOOTHING BY CONVEX QUADRATIC PROGRAMMING: 《Journal of Computational Mathematics》2005年第2期211-216,共6页Bing-shengHe Yu-meiWang; In this paper, we study the relaxed smoothing problems with general closed convex constraints. It is pointed out that such problems can be converted to a convex quadratic minimization problem for which there are good ...

A HYBRID SMOOTHING-NONSMOOTH NEWTON-TYPE ALGORITHM YIELDING AN EXACT SOLUTION OF THE P0-LCP被引量：3: 《Journal of Computational Mathematics》2004年第6期797-806,共10页Zheng-HaiHuang Li-pingZhang Ji-yeHan; We propose a hybrid smoothing-nonsmooth Newton-type algorithm for solving the P0 linear complementarity problem (P0-LCP) based on the techniques used in the non-smooth Newton method and smoothing Newton method. Under ...

A SMOOTHING LEVENBERG-MARQUARDT TYPE METHOD FOR LCP: 《Journal of Computational Mathematics》2004年第5期735-752,共18页Ju-liangZhang JianChen; In this paper, we convert the linear complementarity problem to a system of semismooth nonlinear equations by using smoothing technique. Then we use Levenberg-Marquardt type method to solve this system. Taking advanta...

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