# LinearSolverState¶

class probnum.linalg.solvers.LinearSolverState(problem, prior)

Bases: object

State of a probabilistic linear solver.

The solver state separates the state of a probabilistic linear solver from the algorithm itself, making the solver stateless. The state contains the problem to be solved, the current belief over the quantities of interest and any miscellaneous quantities computed during an iteration of a probabilistic linear solver. The solver state is passed between the different components of the solver and may be used internally to cache quantities which are used more than once.

Parameters:

Attributes Summary

 action Action of the solver for the current step. actions Actions taken by the solver. belief Belief over the quantities of interest of the linear system. observation Observation of the solver for the current step. observations Observations of the problem by the solver. prior Prior belief over the quantities of interest of the linear system. problem Linear system to be solved. residual Residual $$r_{i} = b - Ax_{i}$$. residuals Residuals $$\{b - Ax_i\}_i$$. step Current step of the solver.

Methods Summary

 Advance the solver state to the next solver step.

Attributes Documentation

action

Action of the solver for the current step.

Is None at the beginning of a step and will be set by the policy.

actions

Actions taken by the solver.

belief

Belief over the quantities of interest of the linear system.

observation

Observation of the solver for the current step.

Is None at the beginning of a step, will be set by the observation model for a given action.

observations

Observations of the problem by the solver.

prior

Prior belief over the quantities of interest of the linear system.

problem

Linear system to be solved.

residual

Residual $$r_{i} = b - Ax_{i}$$.

residuals

Residuals $$\{b - Ax_i\}_i$$.

step

Current step of the solver.

Methods Documentation

next_step()[source]

Advance the solver state to the next solver step.

Called after a completed step / iteration of the linear solver.

Return type:

None