• lobpcg.m

  • Referenced in 145 articles [sw24008]
  • show numerically that the LOBPCG method provides approximations to first eigenpairs of about the same ... method on the same generalized block Krylov subspace. We propose a new version of block...
  • QMRPACK

  • Referenced in 78 articles [sw00754]
  • minimal residual (QMR) algorithm is a Krylov-subspace method for the iterative solution of large ... itself, can also be used to obtain approximate eigenvalues of large non-Hermitian matrices. QMRPACK...
  • HSL-VF05

  • Referenced in 70 articles [sw36311]
  • region subproblem using the Lanczos method. The approximate minimization of a quadratic function within ... region problem within the currently generated Krylov subspace has a very special structure which enables...
  • BILUM

  • Referenced in 50 articles [sw04015]
  • general sparse linear systems by using Krylov subspace methods preconditioned by some multi-level block ... independent set ordering and an approximate block ILU factorization is performed with a reduced system...
  • QDPA

  • Referenced in 10 articles [sw12759]
  • improve global convergence, the QDPA uses subspace acceleration, and deflation of found dominant poles ... modal approximations and also to improve reduced-order models computed by Krylov subspace methods...
  • HSL_MI20

  • Referenced in 55 articles [sw07246]
  • used as a preconditioner for Krylov subspace methods. In this communication, we report ... enhance the performance of an AMG-preconditioned Krylov solver. This is illustrated using a number ... thermal convection problems associated with the Boussinesq approximation of the Navier-Stokes equations...
  • GenASPI

  • Referenced in 5 articles [sw19575]
  • Generic approximate sparse inverse matrix techniques. During the last decades explicit preconditioning methods have gained ... sparse linear systems in conjunction with Krylov subspace iterative methods. The effectiveness of explicit preconditioning ... fact that they are close approximants to the inverse of the coefficient matrix. Herewith...
  • DGMRES

  • Referenced in 14 articles [sw02839]
  • Linear Algebra Appl. 298 (1999) 99] Krylov subspace methods were derived for Drazin-inverse solution ... shown that all of the approximations produced by DGCR exist, and a GMRES like algorithm...
  • PNKH-B

  • Referenced in 2 articles [sw40451]
  • rank approximation of the Hessian on the Krylov subspace. This renders PNKH-B similar ... active set into the Hessian approximation. We prove the global convergence to a stationary point...
  • PIFISS

  • Referenced in 4 articles [sw10687]
  • mixed approximation method. The package has built-in algebraic multigrid and Krylov subspace solvers...
  • mu-diff

  • Referenced in 6 articles [sw19503]
  • integral equations formulations. The finite-dimensional approximation technique is a Fourier spectral method combined with ... direct gaussian elimination method or preconditioned Krylov subspace iterative techniques). Pre- and post-processing facilities...
  • KRYLOV

  • Referenced in 2 articles [sw20840]
  • preconditioned domain decomposition methods in the Krylov subspaces. We consider the algebraic and geometric issues ... finite volume or the finite element approximation of the multi-dimensional boundary value problems ... semi-conjugate direction methods in the Krylov block subspaces. The acceleration of two-level iterative ... basic functions, which realize a low -- rank approximation of the original matrix. The auxiliary subsystems...
  • MCGS

  • Referenced in 2 articles [sw02522]
  • gradient squared (CGS) algorithm is a Krylov subspace algorithm that can be used to obtain ... with multistage network indicate that MCGS is approximately 20% faster than...
  • CGLS-GCV

  • Referenced in 1 article [sw02400]
  • linear system and computation of approximations of the column (row) space of the coefficient matrix ... squares with regularization in the generated Krylov subspace. The algorithm is designed to avoid...
  • FIDAP

  • Referenced in 37 articles [sw00006]
  • FIDAP (A Fluid Dynamics Analysis Program). This paper...
  • AMD

  • Referenced in 60 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...
  • ANSYS

  • Referenced in 704 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • ARMS

  • Referenced in 65 articles [sw00048]
  • ARMS: an algebraic recursive multilevel solver for general...
  • ATLAS

  • Referenced in 199 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...