EPSLOBPCG#
EPSLOBPCG = “lobpcg” - The Locally Optimal Block Preconditioned Conjugate Gradient method.
Notes#
This is a preconditioned eigensolver, that is, a preconditioner can be used to accelerate convergence, but as opposed to Davidson methods it is intended for computing leftmost eigenvalues of Hermitian problems, and not interior eigenvalues.
The implemented method is LOBPCG [Knyazev, 2001]. Note that SLEPc
provides another implementation of LOBPCG via BLOPEX, see EPSBLOPEX.
The preconditioner is specified via the internal ST object and its
associated KSP.
References#
A. V. Knyazev. Toward the optimal preconditioned eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient method. SIAM J. Sci. Comput., 23(2):517–541, 2001. doi:10.1137/S1064827500366124.
See Also#
EPS: Eigenvalue Problem Solver, EPS, EPSType, EPSSetType(), EPSGetST(), EPSBLOPEX
Level#
beginner
Location#
src/eps/impls/cg/lobpcg/lobpcg.c
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