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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
作者:
Lu, Dong
;
Wang, Dingkang
;
Xiao, Fanghui
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Multivariate polynomial matrices
Matrix factorization
Matrix equivalence
Column reduced minors
Gr?bner basis
On factor left prime factorization problems for multivariate polynomial matrices
期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2021, 页码: 18
作者:
Lu, Dong
;
Wang, Dingkang
;
Xiao, Fanghui
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  |  
浏览/下载:25/0
  |  
提交时间:2021/04/26
Multivariate polynomial matrices
Matrix factorizations
Factor left prime (FLP)
Column reduced minors
Free modules
Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
作者:
Xiao Fanghui
;
Lu Dong
;
Wang Dingkang
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  |  
浏览/下载:12/0
  |  
提交时间:2021/04/26
Grö
bner basis
matrix Diophantine equation
module
multivariate polynomial
Quantum Algorithm for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 40
作者:
Chen Yu-Ao
;
Gao Xiao-Shan
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  |  
浏览/下载:7/0
  |  
提交时间:2021/04/26
Block cipher AES
Boolean equation solving
condition number
hash function SHA-3
Keccak
HHL algorithm
MPKC
polynomial system solving
quantum algorithm
stream cipher Trivum
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
作者:
Lu, Dong
;
Wang, Dingkang
;
Xiao, Fanghui
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  |  
浏览/下载:86/0
  |  
提交时间:2020/06/30
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
作者:
Lu Dong
;
Sun Yao
;
Wang Dingkang
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  |  
浏览/下载:23/0
  |  
提交时间:2019/03/05
Extended Hensel construction
multivariate polynomial
resultant
sylvester matrix
Improved estimation of fixed effects panel data partially linear models with heteroscedastic errors
期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2017, 卷号: 154, 页码: 96-111
作者:
Hu, Jianhua
;
You, Jinhong
;
Zhou, Xian
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  |  
浏览/下载:5/0
  |  
提交时间:2019/08/22
Consistent estimator
Fixed effects
Heteroscedastic errors
Incidental parameter
Partially linear
CHARACTERIZING REAL-VALUED MULTIVARIATE COMPLEX POLYNOMIALS AND THEIR SYMMETRIC TENSOR REPRESENTATIONS
期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2016, 卷号: 37, 期号: 1, 页码: 381-408
作者:
Jiang, Bo
;
Li, Zhening
;
Zhang, Shuzhong
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  |  
浏览/下载:1/0
  |  
提交时间:2019/08/22
symmetric complex tensor
conjugate complex polynomial
tensor eigenvalue
tensor eigenvector
Banach's theorem
Panel data partially linear model with fixed effects, spatial autoregressive error components and unspecified intertemporal correlation
期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 卷号: 130, 页码: 64-89
作者:
Hu, Jianhua
;
Liu, Fuxiang
;
You, Jinhong
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  |  
浏览/下载:6/0
  |  
提交时间:2019/08/22
Panel data
Partially linear model
Fixed effect
Spatial correlation
Temporal correlation
Generalized method of moments
Model determination and estimation for the growth curve model via group SCAD penalty
期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 卷号: 124, 页码: 199-213
作者:
Hu, Jianhua
;
Xin, Xin
;
You, Jinhong
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  |  
浏览/下载:2/0
  |  
提交时间:2019/08/22
Degree of polynomial profile form
Growth curve model
Least squares estimation
Oracle property
SCAD penalty
Three-level variable selection
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