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An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 248-265
Authors:  Wang, Dingkang;  Wang, Hesong;  Wei, Jingjing;  Xiao, Fanghui
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Extended greatest common right divisor  Parametric univariate polynomial matrix  Comprehensive Gr?bner system  Smith normal form  
New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 266-284
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
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Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
Authors:  Magron, Victor;  Wang, Jie
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Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
A graph-based method for interactive mapping revision in DL-Lite 期刊论文
EXPERT SYSTEMS WITH APPLICATIONS, 2023, 卷号: 211, 页码: 24
Authors:  Li, Weizhuo;  Ji, Qiu;  Zhang, Songmao;  Fu, Xuefeng;  Qi, Guilin
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Semantic Web  Ontology mappings  Interactive revision  Graph representation  
Lifting for the integer knapsack cover polyhedron 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 45
Authors:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
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Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
Certifying global optimality of AC-OPF solutions via sparse polynomial optimization 期刊论文
ELECTRIC POWER SYSTEMS RESEARCH, 2022, 卷号: 213, 页码: 9
Authors:  Wang, Jie;  Magron, Victor;  Lasserre, Jean B.
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Sparse moment-SOS hierarchy  CS-TSSOS hierarchy  Global optimality  Lasserre?s hierarchy  Large-scale polynomial optimization  Optimal power flow  
Generic Newton polygon of the L-function of n variables of the Laurent polynomial I 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2419-2436
Authors:  Leng, Fusheng
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exponential sum  Hodge bound  combinatorial Newton polygon  
Optimality conditions for homogeneous polynomial optimization on the unit sphere 期刊论文
OPTIMIZATION LETTERS, 2022, 页码: 8
Authors:  Huang, Lei
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Homogeneous polynomials  Optimization on the unit sphere  Optimality conditions  
A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
Authors:  Liu, Wenjia;  Zhang, Shuo
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Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Chen, Shuyan;  Zhou, Zijian;  Yan, Zhenya
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Multi-componentHirotaequations  mixedbackgrounds  modifiedDarbouxtransform  semi-rational RWs and W-shaped solitons  asymptotic analysis