rydiqule.solvers.steady_state_solve_stack¶

rydiqule.solvers.steady_state_solve_stack(eom: ndarray, const: ndarray) → ndarray[source]¶

Helper function which returns the solution to the given equations of motion

Solves an equation of the form \(\dot{x} = Ax + b\), or a set of such equations arranged into stacks. Essentially just wraps numpy.linalg.solve(), but included as its own function for modularity if another solver is found to be worth investigating.

Parameters:

eom (numpy.ndarray) – An square array of shape (*l,n,n) representing the differential equations to be solved. The matrix (or matrices) A in the above formula.
const (numpy.ndarray) – An array or shape (*l,n) representing the constant in the matrix form of the differential equation. The constant b in the above formula. Stack shape *l must be consistent with that in the eom argument

Returns:

A 1xn array representing the steady-state solution of the differential equation

Return type:

numpy.ndarray