| 关于Patel-Toda迹不等式的一个推广 |
| |
| 引用本文： | 杨忠鹏,冯晓霞,陈志雄. 关于Patel-Toda迹不等式的一个推广[J]. 工程数学学报, 2006, 23(5): 905-908 |
| |
| 作者姓名： | 杨忠鹏 冯晓霞 陈志雄 |
| |
| 作者单位： | 莆田学院数学系,莆田,福建,351100;北华大学数学系,吉林,132013 |
| |
| 基金项目： | The science foundation of educational department, Fujian （JA03159, JA04164）; and the scientific research ＂the tenth five＂ layout item of the educational department in Jilin, 2004. |
| |
| 摘 要： | 王伯英等[Lin．Alg．Appl．,293(1999)：39-49】将半正定Hermitian矩阵的Patel-Toda迹不等式V从迹推广到特征值。我们证明了这个结粜在比“半正定”更弱的条件下也是成立的。
|
| 关 键 词： | Hermitian矩阵 迹 特征值 偏序 不等式 |
| 文章编号： | 1005-3085(2006)05-0905-04 |
| 收稿时间： | 2004-11-19 |
| 修稿时间： | 2004-11-19 |
A Generalization of Trace Inequality of Patel-Toda |
| |
| YANG Zhong-peng,FENG Xiao-xia,CHEN Zhi-xiong. A Generalization of Trace Inequality of Patel-Toda[J]. Chinese Journal of Engineering Mathematics, 2006, 23(5): 905-908 |
| |
| Authors: | YANG Zhong-peng FENG Xiao-xia CHEN Zhi-xiong |
| |
| Affiliation: | 1- Dept. of Math., Putian University, Putian, Fujian 351100; 2- Dept. of Math., Beihua University, Jilin 132013 |
| |
| Abstract: | Bo-ying Wang, ect(1999) generalized the Patel-Toda inequality V from trace to eigenvalue,which is concerning of the trace of the positive definite Hermitian matrix. We prove that the conclusion holds in the more weaker condition than that of "positive seme-definite property". |
| |
| Keywords: | hermitian matrix trace eigenvalue partial order inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
