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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
作者:  Magron, Victor;  Wang, Jie
收藏  |  浏览/下载:153/0  |  提交时间:2023/02/07
Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
Upper and Lower Bounds for Matrix Discrepancy 期刊论文
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2022, 卷号: 28, 期号: 6, 页码: 23
作者:  Xie, Jiaxin;  Xu, Zhiqiang;  Zhu, Ziheng
收藏  |  浏览/下载:89/0  |  提交时间:2023/02/07
Matrix discrepancy  Tight frame  Interlacing polynomials  Kadison-Singer problem  
Optimality conditions for homogeneous polynomial optimization on the unit sphere 期刊论文
OPTIMIZATION LETTERS, 2022, 页码: 8
作者:  Huang, Lei
收藏  |  浏览/下载:107/0  |  提交时间:2023/02/07
Homogeneous polynomials  Optimization on the unit sphere  Optimality conditions  
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:  Chang, Xiang-Ke
收藏  |  浏览/下载:86/0  |  提交时间:2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 页码: 13
作者:  Yue, Xiao-Lu;  Chang, Xiang-Ke;  Hu, Xing-Biao;  Liu, Ya-Jie
收藏  |  浏览/下载:111/0  |  提交时间:2023/02/07
   Laurent biorthogonal polynomials  three-term recurrence relation  structure relation  compatibility condition  Painlev? equations  
Supersingular j-invariants and the class number of Q(root-p) 期刊论文
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 卷号: 18, 期号: 05, 页码: 1065-1078
作者:  Xiao, Guanju;  Luo, Lixia;  Deng, Yingpu
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
Supersingular j-invariants  class polynomials  class number  imaginary quadratic order  
A generalization of Laurent biorthogonal polynomials and related integrable lattices 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 卷号: 55, 期号: 21, 页码: 15
作者:  Wang, Bao;  Chang, Xiang-Ke;  Yue, Xiao-Lu
收藏  |  浏览/下载:88/0  |  提交时间:2023/02/07
Laurent biorthogonal polynomials  relativistic Toda lattice  compatibility  
Nonnegative Polynomials and Circuit Polynomials 期刊论文
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2022, 卷号: 6, 期号: 2, 页码: 111-133
作者:  Wang, Jie
收藏  |  浏览/下载:121/0  |  提交时间:2022/06/21
nonnegative polynomial  sum of nonnegative circuit polynomials  SONC  certificate of nonnegativity  sum of squares  SAGE  
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:304/0  |  提交时间:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:  Tang, Tao;  Wang, Li-Lian;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载:183/0  |  提交时间:2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods