• 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 conjugate-gradient 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 conjugate-gradient method (developed via the Lanczos method ... equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define ... between the direction defined by a nonlinear conjugate-gradient-type 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 bi-conjugate 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 conjugate-gradient-like methods as described in Section...
  • HSL-VF05

  • 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 bound-constrained 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 semi-iterative), generalized...
  • Bi-CG

  • Referenced in 34 articles [sw00076]
  • system will be nonsymmetric and the bi-conjugate gradient (Bi-CG) 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 limited-memory BFGS with Moré ... even a cell array of tensors), preconditioned conjugate gradient, … The Complex Optimization Toolbox is part...