| 摘要: |
| 当A,B中有一个是正定矩阵,另一个是半正定矩阵时,(A+tB)m的主子式的和在k=n(任意m)和m<3(任意k,n)这两种情况下是关于t的正系数多项式. |
| 关键词: 正定矩阵 主子式 对角化 |
| DOI： |
| 投稿时间：2007-07-06 |
| 基金项目:广西自然科学基金项目(桂科青06400161),广西教育厅项目(桂教科研[2005]47号200507126)和广西高校百名中青年学科带头人资助计划资助。 |
|
| A Note of Principal Minors Sum of(A+tB)m |
|
ZHU Guang-yan, LIU Xiao-ji
|
| (Department of Mathematical and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China) |
| Abstract: |
| The sum of the k×k principal minors of the matrix (A+tB)m is a polynomial with positive coefficients (in t) in the cases of k=n(any m) and m<3 (any k,h),when one of matrices A and B is definite and the other is semidefinite. |
| Key words: positive definite matrix principal minors diagonalize |
