| 摘要: |
| 从广义正定矩阵的概念出发,把广义正定矩阵推广到P矩阵和S矩阵,指出这些矩阵之间的关系,提出可以用广义正定矩阵来判别线性互补问题的解的存在性和唯一性. |
| 关键词: 正定矩阵 P矩阵 S矩阵 线性互补 |
| DOI： |
| 投稿时间：2006-09-25修订日期：2006-11-23 |
| 基金项目:陕西理工学院科研基金项目(SLGQD0517)资助 |
|
| Extension and Application of Positive Definite Matrix in Linear Complementary |
|
YONG Long-quan
|
| (Department of Mathematics, Shanxi University of Technology, Hanzhong, Shanxi, 723001, China) |
| Abstract: |
| The definition of generalized positive definite matrix is introduced.We extend it into P-matrix and S-matrix.The inner relations of these matrixes are pointed.Finally, the applications of these matrixes are obtained in linear complementary problem to decide the existence and uniqueness of solution. |
| Key words: positive definite matrix P-matrix S-matrix linear complementary |
