
LSQR
 Referenced in 394 articles
[sw00530]
 analytically equivalent to the standard method of conjugate gradients, but possesses more favorable numerical properties ... described comparing LSQR with several other conjugategradient algorithms, indicating that LSQR is the most...

CGS
 Referenced in 308 articles
[sw08225]
 combination of the CGS algorithm (a “squared” conjugate gradient method) with a preconditioning called ILLU...

darch
 Referenced in 306 articles
[sw11086]
 common known training algorithms like backpropagation or conjugate gradient...

lobpcg.m
 Referenced in 144 articles
[sw24008]
 implementation of the 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 ... control algorithm, we advocate the standard preconditioned conjugate gradient method for finding an eigenvector...

tn
 Referenced in 140 articles
[sw05140]
 paper 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 ... between the direction defined by a nonlinear conjugategradienttype method and a modified Newton...

SCALCG
 Referenced in 108 articles
[sw08453]
 SCALCG – Scaled conjugate gradient algorithms for unconstrained optimization. In this work we present and analyze ... scaled conjugate gradient algorithm and its implementation, based on an interpretation of the secant equation ... Wolfe line search conditions. The best spectral conjugate gradient algorithm SCG by Birgin and Martínez ... test problems, show that this new scaled conjugate gradient algorithm substantially outperforms the spectral conjugate...

CG_DESCENT
 Referenced in 135 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...

ve08
 Referenced in 148 articles
[sw05141]
 minimizer x *, in which case conjugate gradient and limited memory variable metric methods were found...

BiCGstab
 Referenced in 127 articles
[sw04022]
 modification BiCGstab(l) of the biconjugate gradient method for the solution of a system...

TRON
 Referenced in 113 articles
[sw04714]
 generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization...

YSMP
 Referenced in 73 articles
[sw17947]
 will also include a number of preconditioned conjugategradientlike methods as described in Section...

HSLVF05
 Referenced in 70 articles
[sw36311]
 strategy is to trace the path of conjugate gradient iterates either to convergence or until...

GENSMAC
 Referenced in 60 articles
[sw07093]
 free surface are accurately imposed; the conjugate gradient method is employed for solving the discrete...

RIPPLE
 Referenced in 57 articles
[sw30642]
 flow solutions, aided by an incomplete Cholesky conjugate gradient (ICCG) solution technique for the pressure...

TAO
 Referenced in 52 articles
[sw10597]
 case study uses the GPCG (gradient projection, conjugate gradient) algorithm for solving boundconstrained convex...

CONMIN
 Referenced in 51 articles
[sw04741]
 problems may also be solved, and the conjugate direction method of Fletcher and Reeves...

NSPCG
 Referenced in 35 articles
[sw00636]
 NSPCG” since it contains many nonsymmetric preconditioned conjugate gradient procedures. It is designed to solve ... large collection of accelerators such as conjugate gradient (CG), Chebyshev (SI, for semiiterative), generalized...

BiCG
 Referenced in 34 articles
[sw00076]
 system will be nonsymmetric and the biconjugate gradient (BiCG) method can be applied ... method works as preconditioned conjugate gradient (PCG) method which was applied by S. Bertoluzza [Math...

TNPACK
 Referenced in 42 articles
[sw00970]
 present version by using the preconditioned Conjugate Gradient algorithm (PCG) to solve approximately the Newton...

Complex Optimization Toolbox
 Referenced in 30 articles
[sw14744]
 generalized algorithms for unconstrained nonlinear optimization: nonlinear conjugate gradient and limitedmemory BFGS with Moré ... even a cell array of tensors), preconditioned conjugate gradient, … The Complex Optimization Toolbox is part...