cosapp.core.numerics.solve.linear_solver

Classes

AbstractLinearSolver()
DenseLUSolver()	Linear solver based on dense LU decomposition.
GradientBasedLS()
SparseLUSolver()	Linear solver based on sparse LU decomposition.

class cosapp.core.numerics.solve.linear_solver.AbstractLinearSolver

Bases: HasOptions

abstract eval(dx: ndarray) → ndarray

Evaluates a residue delta from an input delta.

abstract has_valid_state(size: int) → bool

Is the implementation in a valid state or not?

abstract property need_jacobian: bool

Does the implementation requires the computation of a Jacobian matrix?

abstract solve(x: ndarray) → ndarray

Solves the linear problem.

class cosapp.core.numerics.solve.linear_solver.DenseLUSolver

Bases: GradientBasedLS

Linear solver based on dense LU decomposition.

eval(dx: ndarray) → ndarray

Evaluates a residue delta from an input delta.

has_valid_state(size: int) → bool

Gets whether the implementation is in valid state or not.

property jacobian: ndarray

Gets the Jacobian matrix.

setup(jac: ndarray) → None

Performs setup of the linear solver from the Jacobian matrix.

solve(x: ndarray) → ndarray

Solves the linear problem.

class cosapp.core.numerics.solve.linear_solver.GradientBasedLS

Bases: AbstractLinearSolver

abstract property jacobian: ndarray

Returns the Jacobian matrix.

property need_jacobian: bool

Does the implementation requires the computation of a Jacobian matrix?

class cosapp.core.numerics.solve.linear_solver.SparseLUSolver

Bases: GradientBasedLS

Linear solver based on sparse LU decomposition.

eval(dx: ndarray) → ndarray

Evaluates a residue delta from an input delta.

has_valid_state(size: int) → bool

Gets whether the implementation is in valid state or not.

property jacobian: ndarray

Gets the Jacobian matrix.

setup(jac: ndarray) → None

Performs setup of the linear solver from the Jacobian matrix.

solve(x: ndarray) → ndarray

Solves the linear problem.

cosapp.core.numerics.solve.linear_solver.object__getstate__(self, /)

Helper for pickle.