
ODEPACK
 Referenced in 197 articles
[sw08341]
 arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these linear...

Expokit
 Referenced in 189 articles
[sw00258]
 routines consists of matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...

NITSOL
 Referenced in 96 articles
[sw00623]
 obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran...

CVODE
 Referenced in 59 articles
[sw04947]
 CVODE are variableorder, variablestep multistep methods. For nonstiff problems, CVODE includes the Adams ... date). When using a Krylov method as the linear solver, the iteration is an Inexact ... dense and band) solvers and three preconditioned Krylov (iterative) solvers (GMRES, BiCGStab, and TFQMR...

NLEIGS
 Referenced in 30 articles
[sw22547]
 NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. A new rational ... Krylov method for the efficient solution of nonlinear eigenvalue problems, $A(lambda ... This iterative method, called fully rational Krylov method for nonlinear eigenvalue problems (abbreviated as NLEIGS ... interpolation and generalizes the Newton rational Krylov method proposed in [R. Van Beeumen, K. Meerbergen...

lobpcg.m
 Referenced in 136 articles
[sw24008]
 more expensive global optimization method on the same generalized block Krylov subspace. We propose...

QMRPACK
 Referenced in 78 articles
[sw00754]
 minimal residual (QMR) algorithm is a Krylovsubspace method for the iterative solution of large...

CMRH
 Referenced in 31 articles
[sw02194]
 minimal residual (QMR) method are two Krylov methods for solving linear systems. The main difference ... basis vectors for the Krylov subspace. The GMRES method uses the Arnoldi process while ... Krylov subspace. In this paper we give a new method similar to QMR but based...

HSL_MI20
 Referenced in 50 articles
[sw07246]
 most effective iterative methods for the solution of large, sparse linear systems obtained from ... 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...

BILUM
 Referenced in 50 articles
[sw04015]
 general sparse linear systems by using Krylov subspace methods preconditioned by some multilevel block...

PARAEXP
 Referenced in 27 articles
[sw07168]
 homogeneous subproblems, and a nearoptimal Krylov method is used for the fast exponential integration...

EIGIFP
 Referenced in 43 articles
[sw00235]
 inverse free preconditioned Krylov subspace projection method developed by Golub...

FGMRES
 Referenced in 19 articles
[sw04415]
 wellknown bottleneck of efficiency for Krylov methods. Furthermore, either implicit or explicit calculation...

Krylstat
 Referenced in 18 articles
[sw13558]
 Gaussian distributions using rational approximations and Krylov methods and computing logdeterminants using the same...

RKToolbox
 Referenced in 25 articles
[sw14487]
 MATLAB implementations of Ruhe’s rational Krylov sequence method, algorithms for the implicit and explicit...

GMRES
 Referenced in 16 articles
[sw00365]
 known bottleneck of efficiency for the Krylov methods. Either implicit or explicit calculation...

Belos
 Referenced in 14 articles
[sw12725]
 sides, and a singlevector recycled Krylov method (GCRODR). Basic linear problem class...

CholQR
 Referenced in 11 articles
[sw13049]
 within communicationavoiding variants of Krylov subspace projection methods for solving a nonsymmetric linear system ... small but critical segment of the Krylov methods, we can improve not only the overall...

DENOVO
 Referenced in 8 articles
[sw18081]
 that uses stateoftheart solution methods to obtain accurate solutions to the Boltzmann ... source iteration, Denovo uses nonstationary Krylov methods to solve the withingroup equations. Krylov methods ... when used as a preconditioner to a Krylov solver. Denovo’s generic programming framework allows...

XTOR2F
 Referenced in 7 articles
[sw01030]
 stepping is handled by a semiimplicit method. Moderate changes were necessary to transform ... using the NITSOL library with NewtonKrylov methods of solution for nonlinear system of equations ... that on one hand the NewtonKrylov implicit method, when applied to basic one fluid ... beyond MHD. By testing the NewtonKrylov method with diamagnetic modifications on the dynamics...