• ARPACK

  • Referenced in 581 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 387 articles [sw04009]
  • infeasible primal-dual predictor-corrector path-following method, with either ... semidefinite cones are calculated via the Lanczos method. Numerical experiments show that this general purpose...
  • eigs

  • Referenced in 269 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 136 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 98 articles [sw05140]
  • Newton-type minimization via the Lanczos method This paper discusses the use of the linear ... conjugate-gradient method (developed via the Lanczos method) in the solution of large-scale unconstrained ... equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define ... modified Newton method which can be applied to problems that do not necessarily have positive...
  • CGS

  • Referenced in 269 articles [sw08225]
  • fast Lanczos-type solver for nonsymmetric linear systems The presented method is a combination...
  • Expokit

  • Referenced in 103 articles [sw00258]
  • matrix-free Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...
  • TRLan

  • Referenced in 43 articles [sw04029]
  • software package implements the thick-restart Lanczos method. It can be used on either...
  • ABLE

  • Referenced in 23 articles [sw12726]
  • ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems. This work presents ... adaptive block Lanczos method for large-scale non-Hermitian Eigenvalue problems (henceforth the ABLE method ... ABLE method is a block version of the non-Hermitian Lanczos algorithm. There are three ... method. Third, a well-known technique from the Hermitian Lanczos algorithm is generalized to monitor...
  • na1

  • Referenced in 50 articles [sw11516]
  • near-breakdown 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...
  • na5

  • Referenced in 24 articles [sw11489]
  • near-breakdown in the CGS algorithm. Lanczosmethod for solving the system of linear equationsAx...
  • QPA

  • Referenced in 19 articles [sw04296]
  • working set. par A preconditioned conjugate gradient method is used for this inner iteration, with ... equivalence between the conjugate-gradient and Lanczos methods is exploited when finding directions of negative...
  • na26

  • Referenced in 16 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...
  • svdpack

  • Referenced in 54 articles [sw04819]
  • SVDPACK comprises four numerical (iterative) methods for computing the singular value decomposition (SVD) of large ... This software package implements Lanczos and subspace iteration-based methods for determining several...
  • DVDSON

  • Referenced in 13 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...
  • irbleigs

  • Referenced in 13 articles [sw00451]
  • program implements a restarted block-Lanczos method. Judicious choices of acceleration polynomials make it possible...
  • Modulef

  • Referenced in 16 articles [sw01072]
  • include inverse iteration, subspace iteration, Lanczos and QR methods. Solution of time-dependent thermal problems...
  • CMRH

  • Referenced in 15 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...
  • BiCOR

  • Referenced in 7 articles [sw06491]
  • developed from variants of the nonsymmetric Lanczos method. The convergence properties of these two methods...
  • CORS

  • Referenced in 7 articles [sw06493]
  • developed from variants of the nonsymmetric Lanczos method. The convergence properties of these two methods...