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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：97/0  |  提交时间：2023/02/07
Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
A new method for estimating Sharpe ratio function via local maximum likelihood 期刊论文
JOURNAL OF APPLIED STATISTICS, 2022, 页码: 19
作者:  Xu, Wenchao;  Lin, Hongmei;  Tong, Tiejun;  Zhang, Riquan
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Direct method  heteroscedastic non-parametric regression  joint limiting distribution  local polynomial smoothing  Sharpe ratio function  
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
收藏  |  浏览/下载：130/0  |  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
收藏  |  浏览/下载：117/0  |  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
收藏  |  浏览/下载：120/0  |  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  
Algorithms for computing greatest common divisors of parametric multivariate polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 3-20
作者:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载：250/0  |  提交时间：2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
Faster interpolation algorithms for sparse multivariate polynomials given by straight-line programs 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2020, 卷号: 101, 页码: 367-386
作者:  Huang, Qiao-Long;  Gao, Xiao-Shan
收藏  |  浏览/下载：118/0  |  提交时间：2020/09/23
Black box  Interpolation  Kronecker substitution  
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
收藏  |  浏览/下载：132/0  |  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
收藏  |  浏览/下载：138/0  |  提交时间：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
作者:  Huang, Qiaolong
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
Ben-Or and Tiwari's algorithm  early termination algorithm  recursive sparse interpolation