• Expokit

  • Referenced in 156 articles [sw00258]
  • sparse routines consists of matrix-free 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 Krylov-subspace 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 ϕ-Functions Appearing in Exponential Integrators ... matrix function by constructing a Krylov subspace using Arnoldi or Lanczos iteration and projecting ... with time-stepping 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 AMG-preconditioned 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 multi-level 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 φ-functions 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...
  • GKB-FP

  • 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 Drazin-inverse 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 communication-avoiding 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 shift-and-invert method and residual-based...