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Conjugate gradient algorithm

The pattern-based method can be described as the constrained linear equation system:

$\begin{equation*}\begin{aligned}\mathbf{0} & \approx \mathbf{NNs} - \mathbf{NNd} \mathbf{0} & \approx \epsilon \mathbf{Ds} \end{aligned}\end{equation*}$

where $\mathbf{NN}$ denotes the chain operator, which applies operator $\mathbf{N}$ twice. The following conjugate gradient algorithm (Wang, 2016) can be used to solve such problem.
$\begin{algorithm}{Conjugate gradients with regularization} {\mathbf{NN}, \mathb... ...ight] \\ \hat{\rho} \= \rho \end{FOR} \\ \RETURN \mathbf{s} \end{algorithm}$

2022-04-11