
ODEPACK
 Referenced in 147 articles
[sw08341]
 arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these linear...

Expokit
 Referenced in 130 articles
[sw00258]
 routines consists of matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...

NITSOL
 Referenced in 81 articles
[sw00623]
 obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran...

QMRPACK
 Referenced in 77 articles
[sw00754]
 minimal residual (QMR) algorithm is a Krylovsubspace method for the iterative solution of large...

CVODE
 Referenced in 42 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...

lobpcg.m
 Referenced in 90 articles
[sw24008]
 more expensive global optimization method on the same generalized block Krylov subspace. We propose...

BILUM
 Referenced in 47 articles
[sw04015]
 general sparse linear systems by using Krylov subspace methods preconditioned by some multilevel block...

HSL_MI20
 Referenced in 42 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...

CMRH
 Referenced in 20 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...

NLEIGS
 Referenced in 12 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...

FGMRES
 Referenced in 18 articles
[sw04415]
 wellknown bottleneck of efficiency for Krylov methods. Furthermore, either implicit or explicit calculation...

GMRES
 Referenced in 15 articles
[sw00365]
 known bottleneck of efficiency for the Krylov methods. Either implicit or explicit calculation...

PARAEXP
 Referenced in 12 articles
[sw07168]
 homogeneous subproblems, and a nearoptimal Krylov method is used for the fast exponential integration...

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...

Krylstat
 Referenced in 11 articles
[sw13558]
 Gaussian distributions using rational approximations and Krylov methods and computing logdeterminants using the same...

KINSOL
 Referenced in 7 articles
[sw04323]
 nonlinear algebraic systems based on NewtonKrylov solver technology. It is newly rewritten ... Saad. KINSOL employs the Inexact Newton method. As this solver is intended mainly ... CGStab, and TFQMR. These are Krylov methods, and are implemented with scaling and preconditioning ... method. In addition to the basic Krylov method modules, the KINSOL package includes a module...

DENOVO
 Referenced in 6 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...

ROWMAP
 Referenced in 40 articles
[sw09627]
 large stiff ODEs. We present a KrylovWcode ROWMAP for the integration of stiff ... methods of the code ROS4 of Hairer and Wanner and uses Krylov techniques...

Belos
 Referenced in 8 articles
[sw12725]
 sides, and a singlevector recycled Krylov method (GCRODR). Basic linear problem class...

DGMRES
 Referenced in 12 articles
[sw02839]
 Linear Algebra Appl. 298 (1999) 99] Krylov subspace methods were derived for Drazininverse solution...