| 关于同时化一对实二次型为标准形的探讨 |
| |
| 引用本文： | 曲利民,隋凤宝. 关于同时化一对实二次型为标准形的探讨[J]. 鞍山科技大学学报, 1992, 0(3) |
| |
| 作者姓名： | 曲利民 隋凤宝 |
| |
| 作者单位： | 鞍山广播电视大学，鞍山钢铁学院 |
| |
| 摘 要： | 给出一对同阶实对称矩阵A、B,存在正交矩阵P使A,B同时对角化的充分必要条件;进一步给出存在正交替换同时化一对实二次型为标准形的充分必要条件。
|
| 关 键 词： | 实对称矩阵 正交矩阵 对角化 正交替换 标准形 |
To Transform A Pair of Real Quadratic Forms Into Standard Forms |
| |
| Qu Limin Sui Fengbao. To Transform A Pair of Real Quadratic Forms Into Standard Forms[J]. Journal of Anshan University of Science and Technology, 1992, 0(3) |
| |
| Authors: | Qu Limin Sui Fengbao |
| |
| Affiliation: | Qu Limin Sui Fengbao |
| |
| Abstract: | This paper gives the necessary and sufficient condition for existing an orthogonal matrix P to transform a pair of real symmetric matrices A, B (with same order) into diagonal, and gives the necessary and sufficient condition for existing an orthogonal transformation to transform a pair of real quadratic forms into standard forms. |
| |
| Keywords: | Real symmetric matrix Orthogonal matrix Diagonalization Orthogonal transformation Standard form |
| 本文献已被 CNKI 等数据库收录！ |
