
Expokit
 Referenced in 156 articles
[sw00258]
 sparse routines consists of matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes...

lobpcg.m
 Referenced in 110 articles
[sw24008]
 method on the same generalized block Krylov subspace. We propose a new version of block...

NITSOL
 Referenced in 86 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...

FEAST
 Referenced in 70 articles
[sw04025]
 which deviates fundamentally from the traditional Krylov subspace iteration based techniques (Arnoldi and Lanczos algorithms...

Algorithm 919
 Referenced in 39 articles
[sw07350]
 Algorithm 919: A Krylov Subspace Algorithm for Evaluating the ϕFunctions Appearing in Exponential Integrators ... matrix function by constructing a Krylov subspace using Arnoldi or Lanczos iteration and projecting ... with timestepping to prevent the Krylov subspace from growing too large. The algorithm ... steps and the dimension of the Krylov subspace to reach the required accuracy. We implement...

HSL_MI20
 Referenced in 47 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...

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

MIBPB
 Referenced in 45 articles
[sw08106]
 from the MIBPB by using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB...

ROWMAP
 Referenced in 44 articles
[sw09627]
 fairly low dimensions of the Krylov subspaces independently of the dimension of the differential equations...

phipm
 Referenced in 39 articles
[sw20788]
 Matlab package described in ”A Krylov subspace algorithm for evaluating the φfunctions appearing...

EIGIFP
 Referenced in 38 articles
[sw00235]
 implementation of an inverse free preconditioned Krylov subspace projection method developed by Golub...

CMRH
 Referenced in 23 articles
[sw02194]
 basis vectors for the Krylov subspace. The GMRES method uses the Arnoldi process while ... constructing a basis of the Krylov subspace. In this paper we give a new method...

na26
 Referenced in 23 articles
[sw11493]
 harmonic Ritz vectors by block Krylov subspaces. (netlib numeralgo na26...

GKBFP
 Referenced in 13 articles
[sw02082]
 with Tikhonov regularization in the generated Krylov subspace. The regularization parameter for the projected problem...

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

GCROT
 Referenced in 9 articles
[sw08876]
 minimizes the residual norm over a particular subspace. In practice, FGMRES is often restarted periodically ... develop a flexible variant of the Krylov linear solver GCROT (generalized conjugate residual with inner ... numerical experiments that suggest the specific subspace retained in the outer iteration of GCROT ... efficient compared with several popular truncated Krylov subspace methods. Finally, a flexible version of LGMRES...

AmgX
 Referenced in 8 articles
[sw13440]
 standard and flexible preconditioned Krylov subspace iterative methods, which can be combined with...

CholQR
 Referenced in 7 articles
[sw13049]
 CholQR within communicationavoiding variants of Krylov subspace projection methods for solving a nonsymmetric linear ... this small but critical segment of the Krylov methods, we can improve not only...

expmARPACK
 Referenced in 4 articles
[sw13396]
 Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling ... numerical linear algebra algorithms, such as Krylov subspace methods. In this note we discuss exponential ... Krylov subspace time integration methods and provide a simple guide on how to use these ... conductivity terms). Efficient techniques such as the Krylov shiftandinvert method and residualbased...