• LSQR

  • Referenced in 305 articles [sw00530]
  • Linear Equations and Least Squares Problems. An iterative method is given for solving ... equivalent to the standard method of conjugate gradients, but possesses more favorable numerical properties. Reliable...
  • PDNET

  • Referenced in 38 articles [sw04752]
  • implementation, a preconditioned conjugate gradient method is used as the iterative solver. The details...
  • tn

  • Referenced in 111 articles [sw05140]
  • equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define ... modified Lanczos algorithm requires up to n iterations to compute the search direction, where ... truncated Newton method is to terminate the iterations earlier. A preconditioned truncated Newton method ... direction defined by a nonlinear conjugate-gradient-type method and a modified Newton direction. Numerical...
  • TAUCS

  • Referenced in 29 articles [sw04014]
  • Useful for testing the solvers. Iterative Solvers. Preconditioned conjugate-gradients and preconditioned minres. Vaidya ... solve for the Schur complement elements iteratively. Multilevel-Support-Graph Preconditioners. Similar to domain-decomposition...
  • NSPCG

  • Referenced in 30 articles [sw00636]
  • since it contains many nonsymmetric preconditioned conjugate gradient procedures. It is designed to solve large ... algebraic equations by a variety of different iterative methods. One of the main purposes ... several iterative methods for vector computers.\parSince the vectorizability of an iterative method depends greatly ... accelerators such as conjugate gradient (CG), Chebyshev (SI, for semi-iterative), generalized minimal residual (GMRES...
  • QPA

  • Referenced in 20 articles [sw04296]
  • objective function be convex. The methods are iterative at two levels, one level relating ... preconditioned conjugate gradient method is used for this inner iteration, with the preconditioner chosen especially ... iterates. The preconditioner is updated at the conclusion of each outer iteration to ensure that ... persists. The well-known equivalence between the conjugate-gradient and Lanczos methods is exploited when...
  • TRON

  • Referenced in 101 articles [sw04714]
  • generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization ... generating a small number of minor iterates, even for problems with a large number...
  • Belos

  • Referenced in 10 articles [sw12725]
  • included. Abstract interfaces to iteration kernels; implementations of conjugate gradient (CG), block CG, block GMRES ... GMRES, block flexible GMRES, and GCRO-DR iterations are included. Powerful solver managers are provided...
  • lobpcg.m

  • Referenced in 93 articles [sw24008]
  • algorithm, we advocate the standard preconditioned conjugate gradient method for finding an eigenvector ... speed of convergence, costs of every iteration, and memory requirements. We provide such comparison...
  • BLOPEX

  • Referenced in 21 articles [sw04024]
  • Preconditioned Conjugate Gradient Method (LOBPCG). Its main features are: a matrix-free iterative method...
  • PCG

  • Referenced in 6 articles [sw18255]
  • software package for the iterative solution of linear systems on scalar, vector and parallel computers ... equations by means of preconditioned conjugate gradient (PCG)-type iterative methods on a variety...
  • PENSDP

  • Referenced in 18 articles [sw05119]
  • iterative solvers instead of the routinely used direct factorization techniques. The preconditioned conjugate gradient method...
  • LINSOL

  • Referenced in 10 articles [sw03129]
  • iterative linear solver package LINSOL several generalized conjugate gradient (CG) methods (or, briefly, CG-type...
  • LCOBYQA

  • Referenced in 6 articles [sw10964]
  • interpolation points. LCOBYQA is iterative, at each iteration it constructs a quadratic approximation (model ... region subproblem using the conjugate gradient method for a new iterate. At times...
  • CCGPAK

  • Referenced in 1 article [sw29745]
  • multiplication which is separated from the conjugate gradient iterations itself. It is simple to switch...
  • CGIST

  • Referenced in 1 article [sw26995]
  • CGIST (Conjugate Gradient Iterative Shrinkage/Thresholding) is a Matlab based solver for L1-penalized least squares ... implicitly perform subspace optimization using the conjugate gradient method. More details on this method...
  • AMGCL

  • Referenced in 3 articles [sw29215]
  • preconditioner within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES). The library has minimal...
  • Multilinear Engine

  • Referenced in 27 articles [sw14430]
  • solution is computed by using the conjugate gradient algorithm. Non-negativity constraints are implemented ... that are about to become negative. The iteration converges to a minimum that...
  • BETHE-hydro

  • Referenced in 4 articles [sw18049]
  • Lagrangian-Eulerian (ALE) approach, in which the gradient and divergence operators are made compatible using ... simulations and an iterative multigrid-preconditioned conjugate-gradient method for 2D simulations. Rotational terms...
  • DiSCO

  • Referenced in 4 articles [sw28439]
  • distributed preconditioned conjugate gradient method. We analyze its iteration complexity and communication efficiency for minimizing...