Module eig 

Sparse eigenvalue solvers.

This module provides iterative eigensolvers for large sparse symmetric matrices. Unlike the Krylov building blocks in ops::krylov (which generate the kernels for Lanczos/Arnoldi tridiagonalisation), the solvers here drive a complete host-side iteration to convergence and return converged eigenpairs.

• dense_sym – an inline cyclic-Jacobi solver for the small dense symmetric eigenproblems that arise in projected (Rayleigh-Ritz) subspaces.
• lobpcg – the Locally Optimal Block Preconditioned Conjugate Gradient method for the smallest eigenpairs of a sparse SPD matrix.
• shift_invert – shift-invert power iteration for the eigenvalue nearest a target shift (interior eigenvalues).

Re-exports

pub use dense_sym::jacobi_eigh;

pub use lobpcg::LobpcgResult;

pub use lobpcg::lobpcg;

pub use shift_invert::ShiftInvertResult;

pub use shift_invert::shift_invert;

Modules

dense_sym

Dense symmetric eigensolver via cyclic Jacobi rotations.

lobpcg

LOBPCG eigensolver for the smallest eigenpairs of a sparse SPD matrix.

shift_invert

Shift-invert power iteration for the eigenvalue nearest a target shift.