相似变换阵与合同变换阵的初等变换求法  

Calculating the Matrix of Similar Transformation and Congruent Transformation by Elementary Transformation

作　　者：雷英果[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《工科数学》2001年第2期77-80,共4页Journal of Mathematics For Technology

摘　　要：引入初等相似变换与初等合同变换 ,使化方阵为 Jordan标准形的同时求得相似变换阵 ,化实对称阵为对角阵的同时求得合同变换阵 .算法易于理解 ,计算量较小 .Introducing so called elementary similar transformation and elementary congruent transformation, we can obtain the corresponding transformation matrices when getting the matrices of the standard form of an quadratic form and Jordan standard form of a matrix. The computations are simpler and easy to understand.

关 键 词：矩阵 相似矩阵 合同变换 初等变换 JORDAN标准形 实对称阵 对角阵 

分 类 号：O151.21[理学—数学]