# ProjectedResidualInformationOp¶

class probnum.linalg.solvers.information_ops.ProjectedResidualInformationOp

Projected residual information operator.

Obtain information about a linear system by projecting the residual $$b-Ax_{i-1}$$ onto a given action $$s_i$$ resulting in $$s_i \mapsto s_i^\top r_{i-1} = s_i^\top (b - A x_{i-1}) = s_i^\top A (x - x_{i-1})$$.

Methods Summary

 __call__(solver_state) Projected residual $$s_i^\top r_{i-1} = s_i^\top (b - A x_{i-1})$$ of the linear system.

Methods Documentation

__call__(solver_state)[source]

Projected residual $$s_i^\top r_{i-1} = s_i^\top (b - A x_{i-1})$$ of the linear system.

Parameters

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

Return type

ndarray