
ARPACK
 Referenced in 841 articles
[sw04218]
 Arnoldi process called the Implicitly Restarted Arnoldi Method (IRAM). When the matrix A is symmetric ... Lanczos process called the Implicitly Restarted Lanczos Method (IRLM). These variants may be viewed...

SDPT3
 Referenced in 697 articles
[sw04009]
 infeasible primaldual predictorcorrector pathfollowing method, with either ... semideﬁnite cones are calculated via the Lanczos method. Numerical experiments show that this general purpose...

eigs
 Referenced in 323 articles
[sw03702]
 analyses a new implementation of the Arnoldi method for computing a few eigenvalues ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... Arnoldi (Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages...

IRAM
 Referenced in 203 articles
[sw08795]
 analyses a new implementation of the Arnoldi method for computing a few eigenvalues ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... Arnoldi (Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages...

tn
 Referenced in 140 articles
[sw05140]
 Newtontype minimization via the Lanczos method This paper discusses the use of the linear ... conjugategradient method (developed via the Lanczos method) in the solution of largescale unconstrained ... equivalent Lanczos characterization of the linear conjugategradient method may be exploited to define ... modified Newton method which can be applied to problems that do not necessarily have positive...

Expokit
 Referenced in 200 articles
[sw00258]
 matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...

HSLVF05
 Referenced in 70 articles
[sw36311]
 trustregion subproblem using the Lanczos method. The approximate minimization of a quadratic function within...

TRLan
 Referenced in 68 articles
[sw04029]
 software package implements the thickrestart Lanczos method. It can be used on either...

CGS
 Referenced in 329 articles
[sw08225]
 fast Lanczostype solver for nonsymmetric linear systems. The presented method is a combination...

ABLE
 Referenced in 33 articles
[sw12726]
 ABLE: An Adaptive Block Lanczos Method for NonHermitian Eigenvalue Problems. This work presents ... adaptive block Lanczos method for largescale nonHermitian Eigenvalue problems (henceforth the ABLE method ... ABLE method is a block version of the nonHermitian Lanczos algorithm. There are three ... method. Third, a wellknown technique from the Hermitian Lanczos algorithm is generalized to monitor...

na1
 Referenced in 55 articles
[sw11516]
 nearbreakdown in Lanczos type algorithms. The paper deals with methods which the authors have ... different from zero but small in Lanczos type algorithms for solving linear systems.par In particular ... bulk of the paper concentrates on a method called by the authors the method ... existing orthogonal polynomials in the Lanczos type algorithms. The methods described in the paper...

na26
 Referenced in 25 articles
[sw11493]
 Restarted block Lanczos bidiagonalization methods. The problem of computing a few of the largest ... applications. This paper describes restarted block Lanczos bidiagonalization methods based on augmentation of Ritz vectors...

na5
 Referenced in 24 articles
[sw11489]
 nearbreakdown in the CGS algorithm. Lanczos’ method for solving the system of linear equationsAx...

Modulef
 Referenced in 39 articles
[sw01072]
 include inverse iteration, subspace iteration, Lanczos and QR methods. Solution of timedependent thermal problems...

QPA
 Referenced in 20 articles
[sw04296]
 working set. par A preconditioned conjugate gradient method is used for this inner iteration, with ... equivalence between the conjugategradient and Lanczos methods is exploited when finding directions of negative...

irbleigs
 Referenced in 19 articles
[sw00451]
 program implements a restarted blockLanczos method. Judicious choices of acceleration polynomials make it possible...

svdpack
 Referenced in 60 articles
[sw04819]
 SVDPACK comprises four numerical (iterative) methods for computing the singular value decomposition (SVD) of large ... This software package implements Lanczos and subspace iterationbased methods for determining several...

CMRH
 Referenced in 32 articles
[sw02194]
 GMRES method uses the Arnoldi process while QMR uses the Lanczos algorithm for constructing ... this paper we give a new method similar to QMR but based on the Hessenberg ... process instead of the Lanczos process. We call the new method the CMRH method...

DVDSON
 Referenced in 16 articles
[sw17845]
 real, symmetric matrix. Based on the Davidson method, which is extensively used in quantum chemistry/physics ... given. Some comparisons with the Lanczos method demonstrate the efficiency of the program...

BiCOR
 Referenced in 14 articles
[sw06491]
 developed from variants of the nonsymmetric Lanczos method. The convergence properties of these two methods...