KrylovSolver (base class)

class kona.linalg.solvers.krylov.basic.KrylovSolver(vector_factory, optns=None)

Bases: object

Base class for all Krylov solvers.

Parameters:

• vector_factory (VectorFactory) –
• optns (dict, optional) –

Variables:

• vec_factory (VectorFactory) – Used to generate abstracted KonaVector objects.
• max_iter (int) – Maximum iterations for the CG solve.
• rel_tol (float) – Relative residual tolerance for the solution.
• check_res (boolean) – Flag for checking the residual after solution is found
• out_file (file) – File stream for writing convergence data.

solve(mat_vec, b, x, precond)

Solves the Ax=b linear system iteratively.

mat_vec : function

Matrix-vector product for left-hand side matrix A.

b : KonaVector

Right-hand side vector.

x : KonaVector

Solution vector

precond : function

Matrix-vector product for approximate inv(A).