| A Linear System Arising from a Polynomial Problem and Its Applications |
| |
| 作者姓名： | Wen-Xiu MA |
| |
| 作者单位： | Department of |
| |
| 摘 要： | A linear system arising from a polynomial problem in the approximation theory is studied, and the necessary and sufficient conditions for existence and uniqueness of its solutions are presented. Together with a class of determinant identities, the resulting theory is used to determine the unique solution to the polynomial problem. Some homogeneous polynomial identities as well as results on the structure of related polynomial ideals are just by-products.
|
| 关 键 词： | 多项式问题 线性系统 应用 行列式 恒等式 |
| 收稿时间： | 5/6/2011 12:00:00 AM |
A Linear System Arising from a Polynomial Problem and Its Applications |
| |
| Wen-Xiu MA.A Linear System Arising from a Polynomial Problem and Its Applications[J].Chinese Annals of Mathematics,Series B,2007,28(3):283-292. |
| |
| Authors: | Wen-Xiu MA |
| |
| Institution: | Department of Mathematics,University of South Florida,PHY114,4202 E Fowler Avenue,Tampa,FL 33620-5700,USA |
| |
| Abstract: | A linear system arising from a polynomial problem in the approximation theory is studied, and the necessary and sufficient conditions for existence and uniqueness of its solutions are presented. Together with a class of determinant identities, the resulting theory is used to determine the unique solution to the polynomial problem. Some homogeneous polynomial identities as well as results on the structure of related polynomial ideals are just by-products. |
| |
| Keywords: | Linear system Determinant identity Polynomial ideal in two variables |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
