
LSQR
 Referenced in 343 articles
[sw00530]
 Linear Equations and Least Squares Problems. An iterative method is given for solving ... equivalent to the standard method of conjugate gradients, but possesses more favorable numerical properties. Reliable...

tn
 Referenced in 123 articles
[sw05140]
 equivalent Lanczos characterization of the linear conjugategradient method may be exploited to define ... modified Lanczos algorithm requires up to n iterations to compute the search direction, where ... truncated Newton method is to terminate the iterations earlier. A preconditioned truncated Newton method ... direction defined by a nonlinear conjugategradienttype method and a modified Newton direction. Numerical...

PDNET
 Referenced in 39 articles
[sw04752]
 implementation, a preconditioned conjugate gradient method is used as the iterative solver. The details...

TAUCS
 Referenced in 30 articles
[sw04014]
 Useful for testing the solvers. Iterative Solvers. Preconditioned conjugategradients and preconditioned minres. Vaidya ... solve for the Schur complement elements iteratively. MultilevelSupportGraph Preconditioners. Similar to domaindecomposition...

NSPCG
 Referenced in 30 articles
[sw00636]
 since it contains many nonsymmetric preconditioned conjugate gradient procedures. It is designed to solve large ... algebraic equations by a variety of different iterative methods. One of the main purposes ... several iterative methods for vector computers.\parSince the vectorizability of an iterative method depends greatly ... accelerators such as conjugate gradient (CG), Chebyshev (SI, for semiiterative), generalized minimal residual (GMRES...

QPA
 Referenced in 20 articles
[sw04296]
 objective function be convex. The methods are iterative at two levels, one level relating ... preconditioned conjugate gradient method is used for this inner iteration, with the preconditioner chosen especially ... iterates. The preconditioner is updated at the conclusion of each outer iteration to ensure that ... persists. The wellknown equivalence between the conjugategradient and Lanczos methods is exploited when...

TRON
 Referenced in 108 articles
[sw04714]
 generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization ... generating a small number of minor iterates, even for problems with a large number...

Belos
 Referenced in 12 articles
[sw12725]
 included. Abstract interfaces to iteration kernels; implementations of conjugate gradient (CG), block CG, block GMRES ... GMRES, block flexible GMRES, and GCRODR iterations are included. Powerful solver managers are provided...

lobpcg.m
 Referenced in 115 articles
[sw24008]
 algorithm, we advocate the standard preconditioned conjugate gradient method for finding an eigenvector ... speed of convergence, costs of every iteration, and memory requirements. We provide such comparison...

BLOPEX
 Referenced in 25 articles
[sw04024]
 Preconditioned Conjugate Gradient Method (LOBPCG). Its main features are: a matrixfree iterative method...

PCG
 Referenced in 6 articles
[sw18255]
 software package for the iterative solution of linear systems on scalar, vector and parallel computers ... equations by means of preconditioned conjugate gradient (PCG)type iterative methods on a variety...

PENSDP
 Referenced in 21 articles
[sw05119]
 iterative solvers instead of the routinely used direct factorization techniques. The preconditioned conjugate gradient method...

LINSOL
 Referenced in 11 articles
[sw03129]
 iterative linear solver package LINSOL several generalized conjugate gradient (CG) methods (or, briefly, CGtype...

LCOBYQA
 Referenced in 7 articles
[sw10964]
 interpolation points. LCOBYQA is iterative, at each iteration it constructs a quadratic approximation (model ... region subproblem using the conjugate gradient method for a new iterate. At times...

DiSCO
 Referenced in 7 articles
[sw28439]
 distributed preconditioned conjugate gradient method. We analyze its iteration complexity and communication efficiency for minimizing...

AMGCL
 Referenced in 4 articles
[sw29215]
 preconditioner within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES). The library has minimal...

CCGPAK
 Referenced in 1 article
[sw29745]
 multiplication which is separated from the conjugate gradient iterations itself. It is simple to switch...

RTRMC
 Referenced in 30 articles
[sw20435]
 region methods (RTRMC 2) and Riemannian conjugate gradient methods (RCGMC) to solve it. A preconditioner ... Riemannian optimization algorithms. The cost of each iteration is linear in the number of known...

CGIST
 Referenced in 1 article
[sw26995]
 CGIST (Conjugate Gradient Iterative Shrinkage/Thresholding) is a Matlab based solver for L1penalized least squares ... implicitly perform subspace optimization using the conjugate gradient method. More details on this method...

Multilinear Engine
 Referenced in 28 articles
[sw14430]
 solution is computed by using the conjugate gradient algorithm. Nonnegativity constraints are implemented ... that are about to become negative. The iteration converges to a minimum that...