Implement elementwise complex value division #7848
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Rebased to the top of tree (i.e. the main branch) to eliminate all CI errors. |
Implement the logic: (a + bj) / (c + dj) as an inline operator/()
function.
Use case: direct FFT method to solve linear least square problem,
namely:
```math
\begin{align}
f(x) &=\Vert F^T D F x - b \Vert_2^2 \\
\arg \min_{x \in \mathbb{R}} f(x)
&= F^T \left[ D^{-1} F b \right]
\end{align}
```
where `D` is a diagonal complex-valued matrix representing image blur
kernel, `b` is an ordinary image in vectorized form.
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Re-basing to top-of-tree again. |
abadams
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Thanks! |
ardier
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Mar 3, 2024
Implement the logic: (a + bj) / (c + dj) as an inline operator/()
function.
Use case: direct FFT method to solve linear least square problem,
namely:
```math
\begin{align}
f(x) &=\Vert F^T D F x - b \Vert_2^2 \\
\arg \min_{x \in \mathbb{R}} f(x)
&= F^T \left[ D^{-1} F b \right]
\end{align}
```
where `D` is a diagonal complex-valued matrix representing image blur
kernel, `b` is an ordinary image in vectorized form.
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Implement the logic: (a + bj) / (c + dj) as an
inline operator/()function.Use case: direct FFT method to solve linear least square problem, namely:
where
Dis a diagonal complex-valued matrix representing image blur kernel in Fourier domain,bis an ordinary image in vectorized form.See also: #7456 , #5318 .