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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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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View/Download:7/0
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Submit date:2023/02/07
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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View/Download:8/0
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Submit date:2023/02/07
Multivariate polynomial matrices
Matrix factorization
Matrix equivalence
Column reduced minors
Gr?bner basis
SONC optimization and exact nonnegativity certificates via second-order cone programming
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
Authors:
Magron, Victor
;
Wang, Jie
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View/Download:4/0
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Submit date:2023/02/07
Sum of nonnegative circuit polynomials
Second -order cone programming
Polynomial optimization
Sum of binomial squares
Rounding -projection algorithm
Exact nonnegativity certificate
Constructing minimal telescopers for rational functions in three discrete variables
期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 141, 页码: 31
Authors:
Chen, Shaoshi
;
Hou, Qing-Hu
;
Huang, Hui
;
Labahn, George
;
Wang, Rong -Hua
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View/Download:9/0
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Submit date:2023/02/07
Creative telescoping
Abramov reduction
Symbolic summation
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy
期刊论文
ENTROPY, 2022, 卷号: 24, 期号: 8, 页码: 17
Authors:
Guo, Laigang
;
Yuan, Chun-Ming
;
Gao, Xiao-Shan
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View/Download:3/0
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Submit date:2023/02/07
differential entropy
completely monotone
Mckean's conjecture
log-concavity
Gaussian optimality
Quasi-equivalence of heights in algebraic function fields of one variable
期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 139, 页码: 28
Authors:
Feng, Ruyong
;
Feng, Shuang
;
Shen, Li-Yong
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Submit date:2023/02/07
Height
Algebraic curve
Riemann-Roch space
Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 5, 页码: 16
Authors:
Huang, Bo
;
Niu, Wei
;
Xie, Shaofen
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Submit date:2023/02/07
averaging method
limit cycle
symbolic computation
zero-Hopf bifurcation
New bounds and an efficient algorithm for sparse difference resultants
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 107, 页码: 279-298
Authors:
Yuan, Chun-Ming
;
Zhang, Zhi-Yong
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Submit date:2021/10/26
Sparse difference resultant
Laurent transformally essential system
Sparse resultant
Complexity
On the existence of telescopers for rational functions in three variables
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 494-522
Authors:
Chen, Shaoshi
;
Du, Lixin
;
Wang, Rong-Hua
;
Zhu, Chaochao
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View/Download:84/0
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Submit date:2021/04/26
Creative telescoping
Existence criterion
Reduction
Telescoper
Unirational differential curves and differential rational parametrizations
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 539-562
Authors:
Fu, Lei
;
Li, Wei
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Submit date:2021/04/26
Unirational differential curve
Proper differential rational parametrization
Differential resultants
Implicitization