Conjugate[...]不等于MatrixFunction[Conjugate, ...]

hbghlyj

1. Conjugate[{{0, 1}, {-1, 0}}]

Copy the Code

{{0, 1}, {-1, 0}}

1. MatrixFunction[Conjugate, {{0, 1}, {-1, 0}}]

Copy the Code

{{0, -1}, {1, 0}}

hbghlyj

关于 MatrixFunction[Conjugate, ...] 见non-holomorphic functional calculus for matrices

Definition 2.5. Let $A \in \mathbb{M}_n(\mathbb{C})$ be given in the Jordan canonical form as
\[
A=T(D+N) T^{-1}
\]
where $D$ is a diagonal matrix consisting of the eigenvalues. Then the conjugate $A^c$ is given by
\[
A^c=T \bar{D} T^{-1} .
\]

hbghlyj

适用于一楼的例子

hbghlyj

2_Functional_Calculus.pdf (299.73 KB, Downloads: 33)

2024-12-5 22:34 Upload

Click on the file to download the attachment