• GenASPI

  • Referenced in 5 articles [sw19575]
  • techniques. During the last decades explicit preconditioning methods have gained interest among the scientific community ... linear systems in conjunction with Krylov subspace iterative methods. The effectiveness of explicit preconditioning schemes...
  • pyCTQW

  • Referenced in 3 articles [sw16801]
  • Fortran interfaces of pyCTQW, discuss various numerical methods of calculating the matrix exponential, and demonstrate ... cluster. In particular, the Chebyshev and Krylov-subspace methods for calculating the quantum walk propagation...
  • Rice Vector Library

  • Referenced in 3 articles [sw20169]
  • from linear algebra and optimization, including Krylov subspace methods and various relatives of Newton...
  • Rice Vector

  • Referenced in 3 articles [sw13923]
  • from linear algebra and optimization, including Krylov subspace methods and various relatives of Newton...
  • GKB-FP

  • Referenced in 14 articles [sw02082]
  • with Tikhonov regularization in the generated Krylov subspace. The regularization parameter for the projected problem ... chosen by the fixed-point method already presented by the first author. A detailed convergence...
  • mu-diff

  • Referenced in 6 articles [sw19503]
  • algebra solvers (direct gaussian elimination method or preconditioned Krylov subspace iterative techniques). Pre- and post...
  • ROWMAP

  • Referenced in 48 articles [sw09627]
  • methods of the code ROS4 of Hairer and Wanner and uses Krylov techniques ... fairly low dimensions of the Krylov subspaces independently of the dimension of the differential equations...
  • PyKrylov

  • Referenced in 2 articles [sw24348]
  • PyKrylov: Krylov Subspace Methods in Pure Python. PyKrylov aims to provide a flexible implementation ... most common Krylov method for solving systems of linear equations in pure Python. The sole...
  • KrylovMethods.jl

  • Referenced in 2 articles [sw34631]
  • Simple and fast Julia implementation of Krylov subspace methods for linear systems...
  • BoRiS

  • Referenced in 3 articles [sw06562]
  • equations. Different iterative solvers (Krylov subspace projection methods including matrix-free variants) and preconditioners...
  • Online-ABFT

  • Referenced in 3 articles [sw17489]
  • scheme for soft error detection in iterative methods. Soft errors are one-time events that ... errors in the widely used Krylov subspace iterative methods in the middle of the program...
  • KRYLOV

  • Referenced in 2 articles [sw20840]
  • Multi-preconditioned domain decomposition methods in the Krylov subspaces. We consider the algebraic and geometric ... issues of the advanced parallel domain decomposition methods (DDMs) for solving very large non-symmetric ... preconditioned semi-conjugate direction methods in the Krylov block subspaces. The acceleration of two-level ... solved by direct or by the Krylov iterative methods. The parallel implementation of algorithms...
  • MIBPB

  • Referenced in 51 articles [sw08106]
  • mesh size is halved. The MIBPB method is also equipped with a Dirichlet-to-Neumann ... from the MIBPB by using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB...
  • HyBR

  • Referenced in 4 articles [sw29132]
  • problems. These methods restrict the solution to lie in a Krylov subspace, but they ... solution first increases and then decreases. Hybrid methods apply a standard regularization technique, such ... Thus, regularization in hybrid methods is achieved both by Krylov filtering and by appropriate choice...
  • PIFISS

  • Referenced in 4 articles [sw10687]
  • mixed approximation method. The package has built-in algebraic multigrid and Krylov subspace solvers...
  • trlib

  • Referenced in 3 articles [sw17722]
  • variant of Gould’s Generalized Lanczos method (Gould et al. in SIAM ... Lanczos iterations for assembly of Krylov subspaces. A vector- and matrix-free reverse communication interface ... trust region problem frequently arises in sequential methods for nonlinear optimization. In this implementation ... exact way by considering all invariant Krylov subspaces. We investigate the numerical performance of trlib...
  • SParSH-AMG

  • Referenced in 1 article [sw33759]
  • Hybrid CPU-GPU algorithms for Algebraic Multigrid methods (AMG) to efficiently utilize both ... preconditioner with Krylov Subspace solvers like Conjugate Gradient, BiCG methods provides a solver stack...
  • BBTools

  • Referenced in 1 article [sw15348]
  • data sets; Iterative methods, research in algorithms based on Krylov subspaces. The main reason...
  • PSPIKE+

  • Referenced in 4 articles [sw18330]
  • more robust than other available preconditioned iterative methods, and more scalable than parallel sparse direct ... controlling overlap sizes. In each outer Krylov subspace iteration for solving the linear system ... accomplished using a parallel tearing-based method, which may be regarded as an algebraic domain...
  • sPuReMD

  • Referenced in 6 articles [sw12865]
  • Reactive molecular dynamics: numerical methods and algorithmic techniques. ..In this paper, we present implementation details ... core of the simulation engine. This Krylov subspace solver relies on a preconditioner based...