Spectral Theorem - Something TO DO
Spectral Theorem
Something TO DO
posted @ 2014年6月07日 11:15
in math
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Spectral Theorem
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谱定理
1.基本概念（特征值谱）
定义：矩阵$A=(a_{ij})\in C^{n\times n}$,
称\[\varphi (\lambda)=det(\lambda I-A)=\lambda^n+c_1\lambda^{n-1}+\ldots+c_{n-1}\lambda+c_n\]
为$A$的特征多项式（characteristic polynomial）；$n$次代数方程
\[\varphi(\lambda)=0\]
为$A$的特征方程（characteristic equation），他的$n$个根：$\lambda_1,\ldots,\lambda_n$,被称为$A$的特征值（eigenvalue）。此外，常用$\lambda(A)$表示$A$的全体特征值的集合，也成为特征值谱(spectrum of eigenvalue)。
源地址：https://inst.eecs.berkeley.edu/~ee127a/book/login/l_sym_sed.html
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