Module incomplete_factorizations 

Incomplete matrix factorizations for preconditioning

This module provides several incomplete factorization preconditioners:

• ILU(0): Incomplete LU with zero fill-in
• ILU(k): Incomplete LU with level-k fill-in
• IC(0): Incomplete Cholesky for symmetric positive definite matrices
• MILU: Modified ILU with diagonal compensation
• ILUT: Incomplete LU with threshold dropping

All implementations conform to the Preconditioner trait from crate::iterative_solvers, enabling them to be used as drop-in preconditioners for iterative solvers (CG, BiCGSTAB, GMRES, etc.).

References

• Saad, Y. (2003). Iterative Methods for Sparse Linear Systems, 2nd ed. SIAM.

Structs

Ic0

IC(0) preconditioner: Incomplete Cholesky factorization with zero fill-in.

Ilu0

ILU(0) preconditioner: Incomplete LU factorization with zero fill-in.

IluK

ILU(k) preconditioner: Incomplete LU factorization with level-k fill-in.

Ilut

ILUT preconditioner: Incomplete LU with threshold-based dropping.

IlutConfig

Configuration for the ILUT preconditioner.

Milu

MILU preconditioner: Modified Incomplete LU with diagonal compensation.