| 带约束的Kantorovich和Wielandt不等式的矩阵形式 |
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| 引用本文： | 张宝学,朱显海.带约束的Kantorovich和Wielandt不等式的矩阵形式[J].数学学报,2002,45(1):151-156. |
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| 作者姓名： | 张宝学 朱显海 |
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| 作者单位： | 1. 北京理工大学应用数学系,北京,100081
2. 东北师范大学数学系,吉林,长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文利用矩阵的奇异值分解给出了带约束的Ｋａｎｔｏｒｏｖｉｃｈ不等式的矩阵形式，从而推广了王松桂和邵军１９９２年 ［１］ 的结果．并利用此结论得到了一般形式的带约束的Ｗｉｅｌａｎｄｔ不等式的矩阵形式．
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| 关 键 词： | 带约束的Kantorovich Wielandt不等式的矩阵形式 奇异值分解 |
| 文章编号： | 0583-1431(2002)01-0151-06 |
| 修稿时间： | 2000年4月9日 |
Generalized Matrix Versions of the Constrained Kantorovich and Wielandt Inequalities |
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| ZHANG Bao Xue.Generalized Matrix Versions of the Constrained Kantorovich and Wielandt Inequalities[J].Acta Mathematica Sinica,2002,45(1):151-156. |
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| Authors: | ZHANG Bao Xue |
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| Institution: | ZHANG Bao Xue (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081 , P. R. China ) (E-mail: bxzhang@bit.edu.cn) ZHU Xian Hai (Department of Mathematics, Northeast Normal University, Changchun 130024 , P. R. China) |
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| Abstract: | A note by Wang and Shao (1992), in which the constrained Kantorovich inequalities are considered in matrix versions expressed in terms of the loewner tial ordering, is extended to cover nonnegative Hermitian matrices by the singular value decomposition of matrix. Furthermore, the constrained Wielandt inequalities are also investigated. |
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| Keywords: | Constrained Kantorovich Wielandt inequalities Singular value decomposition |
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