  The aim of this paper is to develop an algebraic multigrid method to solve
eigenvalue problems based on the combination of the multilevel correction
scheme and the algebraic multigrid method for linear equations. Our approach
uses the algebraic multigrid method setup procedure to construct the hierarchy
and the intergrid transfer operators. In this algebraic multigrid scheme, a
large scale eigenvalue problem is solved by some algebraic multigrid smoothing
steps in the hierarchy and very small-dimensional eigenvalue problems. To
emphasize the efficiency and flexibility of the proposed method, here we
consider a set of test eigenvalue problems, discretized on unstructured meshes,
with different shape of domain, singularity, and discontinuous parameters.
Moreover, global convergence independent of the number of desired eigenvalues
is obtained.
