• CGS

  • Referenced in 273 articles [sw08225]
  • algorithm (a “squared” conjugate gradient method) with a preconditioning called ILLU (an incomplete line...
  • LSQR

  • Referenced in 242 articles [sw00530]
  • analytically equivalent to the standard method of conjugate gradients, but possesses more favorable numerical properties ... method, subroutine LSQR. Numerical tests are described comparing LSQR with several other conjugate-gradient algorithms...
  • tn

  • Referenced in 99 articles [sw05140]
  • discusses the use of the linear conjugate-gradient method (developed via the Lanczos method ... equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define ... Newton method is to terminate the iterations earlier. A preconditioned truncated Newton method is described ... direction defined by a nonlinear conjugate-gradient-type method and a modified Newton direction. Numerical...
  • BiCGstab

  • Referenced in 96 articles [sw04022]
  • modification BiCGstab(l) of the bi-conjugate gradient method for the solution of a system...
  • TRON

  • Referenced in 87 articles [sw04714]
  • generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization...
  • CG_DESCENT

  • Referenced in 63 articles [sw04813]
  • Algorithm 851: CG_DESCENT. A conjugate gradient method with guaranteed descent Recently, a new nonlinear ... conjugate gradient scheme was developed which satisfies the descent condition gTkdk ... extensive numerical tests and comparisons with other methods for large-scale unconstrained optimization are given...
  • GENSMAC

  • Referenced in 54 articles [sw07093]
  • equations are solved by a finite difference method; the fluid surface is represented ... free surface are accurately imposed; the conjugate gradient method is employed for solving the discrete...
  • PDNET

  • Referenced in 36 articles [sw04752]
  • primal-infeasible dual-feasible network interior point method The authors introduce the truncated primal-infeasible ... system. In the implementation, a preconditioned conjugate gradient method is used as the iterative solver...
  • Bi-CG

  • Referenced in 34 articles [sw00076]
  • stemming from the three fields domain decomposition method for elliptic boundary value problems, the preconditioned ... nonsymmetric and the bi-conjugate gradient (Bi-CG) method can be applied. We show that ... method works as preconditioned conjugate gradient (PCG) method which was applied by S. Bertoluzza [Math...
  • YSMP

  • Referenced in 50 articles [sw17947]
  • sparse. The current release features direct methods based on Gaussian elimination without pivoting ... include a number of preconditioned conjugate-gradient-like methods as described in Section...
  • ve08

  • Referenced in 122 articles [sw05141]
  • which case conjugate gradient and limited memory variable metric methods were found to work quite...
  • QPA

  • Referenced in 19 articles [sw04296]
  • second due to the method used to solve the equality-constrained problem ... this working set. par A preconditioned conjugate gradient method is used for this inner iteration ... well-known equivalence between the conjugate-gradient and Lanczos methods is exploited when finding directions...
  • RTRMC

  • Referenced in 18 articles [sw20435]
  • region methods (RTRMC 2) and Riemannian conjugate gradient methods (RCGMC) to solve it. A preconditioner...
  • BLOPEX

  • Referenced in 16 articles [sw04024]
  • with the Locally Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG). Its main features...
  • PENSDP

  • Referenced in 15 articles [sw05119]
  • particular algorithm based on the modified barrier method, we propose to use iterative solvers instead ... used direct factorization techniques. The preconditioned conjugate gradient method proves to be a viable alternative...
  • JDCG

  • Referenced in 28 articles [sw12540]
  • implements the Jacobi-Davidson method with preconditioned conjugate gradient solution of the arising linear systems...
  • GENSMAC3D

  • Referenced in 13 articles [sw20610]
  • equations are solved by a finite difference method; the fluid surface is represented ... free surface are accurately imposed; the conjugate gradient method is employed for solving the discrete...
  • CG+

  • Referenced in 11 articles [sw05285]
  • implements three different versions of the Conjugate Gradient method: the Fletcher-Reeves method, the Polak...
  • MINRES

  • Referenced in 17 articles [sw13371]
  • Implementation of a conjugate-gradient type method for solving sparse linear equations: Solve...
  • PREQN

  • Referenced in 7 articles [sw01233]
  • Fortran 77 subroutines for preconditioning the conjugate gradient method PREQN is a package of Fortran ... automatically generating preconditioners for the conjugate gradient method. It is designed for solving a sequence ... that a single call from a conjugate gradient routine performs the preconditioning operation and stores...