# PosteriorContractionStopCrit¶

class probnum.linalg.solvers.stopping_criteria.PosteriorContractionStopCrit(qoi='x', atol=1e-05, rtol=1e-05)

Posterior contraction stopping criterion.

Terminate when the uncertainty about the quantity of interest $$q$$ is sufficiently small, i.e. if $$\sqrt{\operatorname{tr}(\mathbb{Cov}(q))} \leq \max(\text{atol}, \text{rtol} \lVert b \rVert_2)$$, where $$q$$ is either the solution $$x$$, the system matrix $$A$$ or its inverse $$A^{-1}$$.

Parameters

Methods Summary

 __call__(solver_state) Check whether the uncertainty about the quantity of interest is smaller than the specified tolerance.

Methods Documentation

__call__(solver_state)[source]

Check whether the uncertainty about the quantity of interest is smaller than the specified tolerance.

Parameters

solver_state (ProbabilisticLinearSolverState) – Current state of the linear solver.

Return type

bool