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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  
Truncations of Random Unitary Matrices Drawn from Hua-Pickrell Distribution 期刊论文
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 卷号: 17, 期号: 1, 页码: 24
Authors:  Lin, Zhaofeng;  Qiu, Yanqi;  Wang, Kai
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Determinantal point process  Hua-Pickrell measure  Truncated unitary matrix  Limiting point process  Weighted Bergman kernel  
Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
Authors:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
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Upper and Lower Bounds for Matrix Discrepancy 期刊论文
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2022, 卷号: 28, 期号: 6, 页码: 23
Authors:  Xie, Jiaxin;  Xu, Zhiqiang;  Zhu, Ziheng
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Matrix discrepancy  Tight frame  Interlacing polynomials  Kadison-Singer problem  
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 17
Authors:  Dou, Fangfang;  Liu, Xiaodong;  Meng, Shixu;  Zhang, Bo
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Inverse acoustic scattering  Limited aperture  Backscattering data  Data completion  Direct sampling method  Factorization method  
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
Authors:  Zhenya Yan
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Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
Parallel multi-stage preconditioners with adaptive setup for the black oil model 期刊论文
COMPUTERS & GEOSCIENCES, 2022, 卷号: 168, 页码: 16
Authors:  Zhao, Li;  Feng, Chunsheng;  Zhang, Chen-Song;  Shu, Shi
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Black oil model  Fully implicit method  Parallel computing  Multi-color Gauss-Seidel smoother  Multi-stage preconditioners  
Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras 期刊论文
JOURNAL OF ALGEBRA, 2022, 卷号: 609, 页码: 87-119
Authors:  Han, Yang
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Cartanmatrix  Hochschild(co)homology  Shklyarovpairing  Cherncharacter  Hattori-Stallingstrace  
A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
Authors:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
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Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold