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Factorizations for a class of multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 卷号: 31, 期号: 3, 页码: 989-1004
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
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Multivariate polynomial matrices  Matrix factorization  Reduced minors  Reduced Grobner basis  
A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 卷号: 31, 期号: 6, 页码: 1633-1646
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:7/0  |  Submit date:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 卷号: 31, 期号: 2, 页码: 539-551
Authors:  Huang, Qiaolong
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
Ben-Or and Tiwari's algorithm  early termination algorithm  recursive sparse interpolation  
An Efficient Algorithm for Computing Parametric Multivariate Polynomial GCD 期刊论文
ISSAC'18: PROCEEDINGS OF THE 2018 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2018, 页码: 239
Authors:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
Favorite  |  View/Download:3/0  |  Submit date:2019/12/31
animprovedearlyterminationsparseinterpolationalgorithmformultivariatepolynomials 期刊论文
journalofsystemsscienceandcomplexity, 2018, 卷号: 031, 期号: 002, 页码: 539
Authors:  Huang Qiaolong
Favorite  |  View/Download:5/0  |  Submit date:2020/01/10
anewalgorithmforcomputingtheextendedhenselconstructionofmultivariatepolynomials 期刊论文
journalofsystemssciencecomplexity, 2018, 卷号: 31, 期号: 6, 页码: 1633
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:5/0  |  Submit date:2020/01/10
High Order Mass-Lumping Finite Elements on Simplexes 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 331-350
Authors:  Cui, Tao;  Leng, Wei;  Lin, Deng;  Ma, Shichao;  Zhang, Linbo
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Finite element  mass-lumping  simplex  numerical quadrature  multivariate polynomial interpolation  unisolvence  
A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 2, 页码: 464-483
Authors:  Zhu Wei;  Gao Xiao-Shan
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Differential polynomial system  regular triangular set  saturated triangular set  triangular decomposition  
atriangulardecompositionalgorithmfordifferentialpolynomialsystemswithelementarycomputationcomplexity 期刊论文
journalofsystemsscienceandcomplexity, 2017, 卷号: 30, 期号: 2, 页码: 464
Authors:  Zhu Wei;  Gao Xiaoshan
Favorite  |  View/Download:3/0  |  Submit date:2020/01/10
Weighted discrete least-squares polynomial approximation using randomized quadratures 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 298, 页码: 787-800
Authors:  Zhou, Tao;  Narayan, Akil;  Xiu, Dongbin
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Least squares method  Orthogonal polynomials  Generalized polynomial chaos  Uncertainty quantification