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LOBPCG

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AcronymDefinition
LOBPCGLocally Optimal Block Preconditioned Conjugate Gradient


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the LOBPCG method, are used; * designed to operate in a matrix-free environment and equally efficient for regular, Ax = [lambda]x, and generalized, Ax = [lambda]Bx, symmetric eigenvalue problems; * relatively well developed theory, which, in particular, guarantees optimal, with respect to the mesh size, convergence with multigrid preconditioning; * trivial multigrid implementation, e.
An approximation of the largest eigenvalue of the generalized eigenvalue problems was obtained by few iterations of the LOBPCG code of Knyazev [11], preconditioned by the block diagonal matrix diag([[A.
 
 
 
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