
CGS
 Referenced in 285 articles
[sw08225]
 algorithm (a “squared” conjugate gradient method) with a preconditioning called ILLU (an incomplete line...

LSQR
 Referenced in 281 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 conjugategradient algorithms...

tn
 Referenced in 105 articles
[sw05140]
 discusses the use of the linear conjugategradient method (developed via the Lanczos method ... equivalent Lanczos characterization of the linear conjugategradient 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 conjugategradienttype method and a modified Newton direction. Numerical...

lobpcg.m
 Referenced in 86 articles
[sw24008]
 locally optimal block preconditioned conjugate gradient method: Toward the optimal preconditioned eigensolver: Locally optimal block ... preconditioned conjugate gradient method. We describe new algorithms of the locally optimal block preconditioned conjugate ... gradient (LOBPCG) method for symmetric eigenvalue problems, based on a local optimization of a three ... algorithm, we advocate the standard preconditioned conjugate gradient method for finding an eigenvector...

BiCGstab
 Referenced in 102 articles
[sw04022]
 modification BiCGstab(l) of the biconjugate gradient method for the solution of a system...

TRON
 Referenced in 94 articles
[sw04714]
 generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization...

CG_DESCENT
 Referenced in 69 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 largescale unconstrained optimization are given...

GENSMAC
 Referenced in 57 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...

YSMP
 Referenced in 55 articles
[sw17947]
 sparse. The current release features direct methods based on Gaussian elimination without pivoting ... include a number of preconditioned conjugategradientlike methods as described in Section...

PDNET
 Referenced in 37 articles
[sw04752]
 primalinfeasible dualfeasible network interior point method The authors introduce the truncated primalinfeasible ... system. In the implementation, a preconditioned conjugate gradient method is used as the iterative solver...

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

ve08
 Referenced in 125 articles
[sw05141]
 which case conjugate gradient and limited memory variable metric methods were found to work quite...

QPA
 Referenced in 20 articles
[sw04296]
 second due to the method used to solve the equalityconstrained problem ... this working set. par A preconditioned conjugate gradient method is used for this inner iteration ... wellknown equivalence between the conjugategradient and Lanczos methods is exploited when finding directions...

RTRMC
 Referenced in 20 articles
[sw20435]
 region methods (RTRMC 2) and Riemannian conjugate gradient methods (RCGMC) to solve it. A preconditioner...

BLOPEX
 Referenced in 18 articles
[sw04024]
 with the Locally Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG). Its main features...

PENSDP
 Referenced in 17 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...

GENSMAC3D
 Referenced in 17 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...

JDCG
 Referenced in 34 articles
[sw12540]
 implements the JacobiDavidson method with preconditioned conjugate gradient solution of the arising linear systems...

CG+
 Referenced in 12 articles
[sw05285]
 implements three different versions of the Conjugate Gradient method: the FletcherReeves method, the Polak...

MINRES
 Referenced in 18 articles
[sw13371]
 Implementation of a conjugategradient type method for solving sparse linear equations: Solve...