Chambolle–Pock algorithm: Difference between revisions

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:<math display="block"> \min_{x\in\mathcal{X}} F(Kx) + G(x) </math>
 
where <math>K:\mathcal{X} \rightarrow \mathcal{Y}</math> is a [[Bounded operator|bounded linear operator]], <math>F:\mathcal{Y} \rightarrow [0, +\infty), G:\mathcal{X} \rightarrow [0, +\infty) </math> are [[Convex function|convex]], [[Semi-continuity|lower semicontinuous]] and simple.<ref name=":0" />
 
The minimization problem has its dual corresponding problem as<ref name=":0" />