正交相似变换下矩阵标准形的应用

Application of Matrix Normal Form Under the Orthogonal Similarity Transformation

矩阵的研究有极广泛的内容,而其中的标准形问题无论是理论上还是应用上都具有十分重要的地位.通过实例探讨了实对称矩阵的正交相似变换标准形在矩阵分解,求矩阵的特征值等问题中的应用.

The study of matrix has a very wide range of contents,of which the normal form has a very important position both in theory and in application.The paper illustrates the application of matrix normal form under the orthogonal similarity trans-formation in matrix decomposition and eigenvalue.