| 广义矩阵多项式的秩等式及应用 |
| |
| 引用本文： | 黄爱萍,陈菁菁,陈梅香,杨忠鹏.广义矩阵多项式的秩等式及应用[J].北华大学学报(自然科学版),2011(6):651-655. |
| |
| 作者姓名： | 黄爱萍 陈菁菁 陈梅香 杨忠鹏 |
| |
| 作者单位： | 莆田学院数学系;漳州师范学院数学系;江西师范大学数学与信息科学学院;福建省高校重点实验室——莆田学院应用数学实验室; |
| |
| 基金项目： | 福建省自然科学基金项目(2010J01018); 2008年福建省高校服务海西建设重点项目(2008HX03); 福建省教育厅科研基金项目(JA08196); 福建省莆田学院教改项目(JG201018) |
| |
| 摘 要： | 给出由幂等矩阵确定的广义矩阵多项式的定义,在理清广义矩阵多项式与通常矩阵多项式的关系的基础上,讨论了广义矩阵多项式的秩的性质,推广改进了相关结果.
|
| 关 键 词： | 广义矩阵多项式 矩阵秩 广义二次矩阵 |
Rank Identities of Generalized Matrix Polynomial and Their Applications |
| |
| HUANG Ai-ping,CHEN Jing-jing,CHEN Mei-xiang,YANG Zhong-peng.Rank Identities of Generalized Matrix Polynomial and Their Applications[J].Journal of Beihua University(Natural Science),2011(6):651-655. |
| |
| Authors: | HUANG Ai-ping CHEN Jing-jing CHEN Mei-xiang YANG Zhong-peng |
| |
| Institution: | HUANG Ai-ping1,2,CHEN Jing-jing1,3,CHEN Mei-xiang1,4,YANG Zhong-peng1,4(1.Mathematics Department of Putian College,Putian 351100,China,2.Mathematics Department of Zhangzhou College,Zhangzhou 363000,3.Mathematics and Information Science College of Jiangxi Normal University,Nanchang 330022,4.Applied Mathematics Lab of Putian College,Higher Educational Key Lab of Fujian Province,China) |
| |
| Abstract: | The definition of generalized matrix polynomial determined by idempotent matrix is given.On the basis of making clear the relation between generalized matrix polynomial and common matrix polynomial,the properties of rank identity for generalized matrix polynomial are discussed,which generalizes and improves the related results of matrix polynomial. |
| |
| Keywords: | generalized matrix polynomial rank of matrix generalized quadratic matrix |
| 本文献已被 CNKI 等数据库收录！ |
|
