
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 Krylovsubspace method for the iterative solution of large ... itself, can also be used to obtain approximate eigenvalues of large nonHermitian matrices. QMRPACK...

HSLVF05
 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 multilevel 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 reducedorder 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 AMGpreconditioned Krylov solver. This is illustrated using a number ... thermal convection problems associated with the Boussinesq approximation of the NavierStokes 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 Drazininverse solution ... shown that all of the approximations produced by DGCR exist, and a GMRES like algorithm...

PNKHB
 Referenced in 2 articles
[sw40451]
 rank approximation of the Hessian on the Krylov subspace. This renders PNKHB 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 builtin algebraic multigrid and Krylov subspace solvers...

mudiff
 Referenced in 6 articles
[sw19503]
 integral equations formulations. The finitedimensional approximation technique is a Fourier spectral method combined with ... direct gaussian elimination method or preconditioned Krylov subspace iterative techniques). Pre and postprocessing 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 multidimensional boundary value problems ... semiconjugate direction methods in the Krylov block subspaces. The acceleration of twolevel 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...

CGLSGCV
 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...