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Peter
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is there any effectiveefficient way to compute the follow matrix equations easily

Let $A$ and $D$ are $n\times n$ digonaldiagnal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effectiveefficient way to compute the follow matrix equations easily?

$\sum_{i=0}^{k} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

is there any effective way to compute the follow matrix equations easily

Let $A$ and $D$ are $n\times n$ digonal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effective way to compute the follow matrix equations easily?

$\sum_{i=0}^{k} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

is there any efficient way to compute the follow matrix equations easily

Let $A$ and $D$ are $n\times n$ diagnal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any efficient way to compute the follow matrix equations easily?

$\sum_{i=0}^{k} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

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Peter
  • 21
  • 2

Let $A$ and $D$ are $n\times n$ digonal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effective way to compute the follow matrix equations easily?

$\sum_{i=0}^{\infty} A^i \cdot B^T \cdot D \cdot B \cdot A^i$$\sum_{i=0}^{k} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

Let $A$ and $D$ are $n\times n$ digonal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effective way to compute the follow matrix equations easily?

$\sum_{i=0}^{\infty} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

Let $A$ and $D$ are $n\times n$ digonal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effective way to compute the follow matrix equations easily?

$\sum_{i=0}^{k} A^i \cdot B^T \cdot D \cdot B \cdot A^i$

Source Link
Peter
  • 21
  • 2

is there any effective way to compute the follow matrix equations easily

Let $A$ and $D$ are $n\times n$ digonal matrices, and $B$ is an $n\times n$ orthogonal matrix. Is there any effective way to compute the follow matrix equations easily?

$\sum_{i=0}^{\infty} A^i \cdot B^T \cdot D \cdot B \cdot A^i$