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A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over Z[x] 期刊论文
THEORETICAL COMPUTER SCIENCE, 2019, 卷号: 755, 页码: 89-109
作者:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:164/0  |  提交时间:2019/03/05
Generalized Hermite normal form  Grobner basis  Polynomial-time algorithm  Z[x] module  
Decomposition of ordinary difference polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2009, 卷号: 44, 期号: 10, 页码: 1394-1409
作者:  Zhang, Mingbo;  Gao, Xiao-Shan
收藏  |  浏览/下载:63/0  |  提交时间:2018/07/30
Functional decomposition  Difference polynomial  Difference operator  Difference degree  
Rational solutions of ordinary difference equations 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2008, 卷号: 43, 期号: 10, 页码: 746-763
作者:  Feng, Ruyong;  Gao, Xiao-Shan;  Huang, Zhenyu
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
rational solution  polynomial solution  ordinary difference equation  Puiseux series  Laurent series  
Decomposition of ordinary differential polynomials 期刊论文
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2008, 卷号: 19, 期号: 1, 页码: 1-25
作者:  Gao, Xiao-Shan;  Zhang, Mingbo
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
decomposition  differential polynomial  pseudo linear differential polynomial  differential degree  
A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2006, 卷号: 41, 期号: 7, 页码: 739-762
作者:  Feng, Ruyong;  Gao, Xiao-Shan
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
rational general solution  first order autonomous ODE  rational parametrizations  Laurent series  Pade approximants  polynomial time algorithm