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如$M=\begin{bmatrix}1&1\\-1&1\end{bmatrix}$是实正定的, 不是复正定的.
Wikipedia写道
On the other hand, for a symmetric real matrix $M$, the condition "$\mathbf {z} ^{\textsf {T}}M\mathbf {z} >0$ for all nonzero real vectors $z$" does imply that $M$ is positive-definite in the complex sense. |
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