ResidualNormStopCrit

class probnum.linalg.solvers.stopping_criteria.ResidualNormStopCrit(atol=1e-05, rtol=1e-05)

Bases: probnum.linalg.solvers.stopping_criteria.LinearSolverStopCrit

Residual stopping criterion.

Terminate when the euclidean norm of the residual \(r_{i} = A x_{i} - b\) is sufficiently small, i.e. if it satisfies \(\lVert r_i \rVert_2 \leq \max( \text{atol}, \text{rtol} \lVert b \rVert_2)\).

Parameters

• atol (Number) – Absolute tolerance.

• rtol (Number) – Relative tolerance.

Methods Summary

__call__(solver_state)

Check whether the residual norm is smaller than the specified tolerance.

Methods Documentation

__call__(solver_state)

Check whether the residual norm is smaller than the specified tolerance.

Parameters

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

Return type

bool