Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is a matrix-free method for finding the largest (or smallest) eigenvalues and the corresponding eigenvectors of a symmetric generalized eigenvalue problem
for a given pair of complex Hermitian or real symmetric matrices, where
the matrix is also assumed positive-definite.
Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is a matrix-free method for finding the largest (or smallest) eigenvalues and the corresponding...
a key technology accelerating the convergence, e.g., in the matrix-free LOBPCG method. Spectral clustering has been successfully applied on large graphs...
algorithm or the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method. Subsequent principal components can be computed one-by-one via...
sacrificing the small cost per iteration; see, e.g., Lanczos iteration and LOBPCG. Some of the more advanced eigenvalue algorithms can be understood as variations...
various groups that rely on ARPACK. Free and open-source software portal LOBPCG, a different matrix-free method for symmetric or Hermitian matrices only...
quotient of the previous iteration. Preconditioned inverse iteration or LOBPCG algorithm positive-definite real symmetric eigenpair with value closest...
eigenvectors of the graph Laplacian matrix for the original graph computed by LOBPCG solver with multigrid preconditioning. Given a graph G = ( V , E ) {\displaystyle...
preconditioned steepest descent and flexible CG methods for SPD linear systems and LOBPCG for symmetric eigenvalue problems are all shown to be robust if the preconditioner...
space iterative methods, such as the conjugate gradient method, GMRES, and LOBPCG. In overlapping domain decomposition methods, the subdomains overlap by...
decentralized peer-to-peer file distribution system is published 2001 – LOBPCG Locally Optimal Block Preconditioned Conjugate Gradient method finding extreme...
Generalized Davidson and Jacobi-Davidson. Conjugate gradient methods such as LOBPCG. A contour integral solver (CISS). Interface to some external eigensolvers...
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