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科研机构
数学与系统科学研究... [88]
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期刊论文 [88]
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2022 [2]
2021 [7]
2020 [8]
2019 [6]
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专题:数学与系统科学研究院
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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
作者:
Wang, Dingkang
;
Wang, Hesong
;
Wei, Jingjing
;
Xiao, Fanghui
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2023/02/07
Extended greatest common right divisor
Parametric univariate polynomial matrix
Comprehensive Gr?bner system
Smith normal form
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/04/02
Five-component Manakov system
Non-zero/zero background
Semi-rational solutions
Rogue waves/rogons
Solitons
Improved two-step Newton's method for computing simple multiple zeros of polynomial systems
期刊论文
NUMERICAL ALGORITHMS, 2022, 页码: 32
作者:
Li, Nan
;
Zhi, Lihong
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2022/04/02
Polynomial system
Simple multiple zero
Newton's method
Quadratic convergence
Algorithms yield upper bounds in differential algebra
期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 页码: 23
作者:
Li, Wei
;
Ovchinnikov, Alexey
;
Pogudin, Gleb
;
Scanlon, Thomas
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
delay PDEs
elimination of unknowns
uniform bounds
oracle machine
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: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
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2021/04/26
Grö
bner basis
matrix Diophantine equation
module
multivariate polynomial
Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping
期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 页码: 13
作者:
Wang, Jiacheng
;
Ning, Zhen-Hu
;
Yang, Fengyan
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2021/04/26
Wave equation
Stabilization
Hyperbolic spaces
Nonlinear locally distributed damping
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: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
Computing real radicals and S-radicals of polynomial systems
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 259-278
作者:
El Din, Mohab Safey
;
Yang, Zhi-Hong
;
Zhi, Lihong
收藏
  |  
浏览/下载:79/0
  |  
提交时间:2020/09/23
Polynomial system
Real radical
S-radical ideal
Semi-algebraic set
Real algebraic geometry
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:63/0
  |  
提交时间:2020/09/23
Parametric multivariate polynomials
Gcd system
Minimal comprehensive Grobner system
Ideal intersection
Ideal quotient
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