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The code computes the exact eigenpairs of (1-3)D negative Laplacian on a rectangular finite-difference grid for combinations of Dirichlet, Neumann, and Periodic boundary conditions using explicit formulas from
http://en.wikipedia.org/wiki/Eigenvalues_a...cond_derivative

The code can also compute the sparse matrix itself, using Kronecker sums of 1D Laplacians. For more information on tensor sums, see



[blockVectorX,lambda]=lobpcg(blockVectorX,operatorA)
outputs the array of algebraic smallest eigenvalues lambda and
corresponding matrix of orthonormalized eigenvectors blockVectorX of the Hermitian (full or sparse) operator operatorA...



MATLAB sparse matrix converter to Hypre
MATLAB vector converter to Hypre
Hypre sparse matrix converter to MATLAB
Hypre vector converter to MATLAB

The Parallel High Performance Preconditioners (hypre) is a library of...