
LSQR
 Referenced in 410 articles
[sw00530]
 equivalent to the standard method of conjugate gradients, but possesses more favorable numerical properties. Reliable ... described comparing LSQR with several other conjugategradient algorithms, indicating that LSQR is the most...

CGS
 Referenced in 329 articles
[sw08225]
 algorithm (a “squared” conjugate gradient method) with a preconditioning called ILLU (an incomplete line...

darch
 Referenced in 321 articles
[sw11086]
 known training algorithms like backpropagation or conjugate gradient...

lobpcg.m
 Referenced in 147 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...

tn
 Referenced in 140 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 ... direction defined by a nonlinear conjugategradienttype method and a modified Newton direction. Numerical...

SCALCG
 Referenced in 112 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 ... line search conditions. The best spectral conjugate gradient algorithm SCG by Birgin and Martínez ... problems, show that this new scaled conjugate gradient algorithm substantially outperforms the spectral conjugate gradient...

CG_DESCENT
 Referenced in 142 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 150 articles
[sw05141]
 minimizer x *, in which case conjugate gradient and limited memory variable metric methods were found...

BiCGstab
 Referenced in 128 articles
[sw04022]
 modification BiCGstab(l) of the biconjugate gradient method for the solution of a system...

TRON
 Referenced in 116 articles
[sw04714]
 generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization...

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

HSLVF05
 Referenced in 73 articles
[sw36311]
 trace the path of conjugate gradient iterates either to convergence or until it reaches...

TAO
 Referenced in 53 articles
[sw10597]
 study uses the GPCG (gradient projection, conjugate gradient) algorithm for solving boundconstrained convex quadratic...

GENSMAC
 Referenced in 61 articles
[sw07093]
 free surface are accurately imposed; the conjugate gradient method is employed for solving the discrete...

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

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

BiCG
 Referenced in 34 articles
[sw00076]
 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...

RTRMC
 Referenced in 43 articles
[sw20435]
 region methods (RTRMC 2) and Riemannian conjugate gradient methods (RCGMC) to solve it. A preconditioner...

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

MINRES
 Referenced in 42 articles
[sw13371]
 Implementation of a conjugategradient type method for solving sparse linear equations: Solve...