
KELLEY
 Referenced in 526 articles
[sw04829]
 Iterative methods for optimization This book gives an introduction to optimization methods for unconstrained ... devoted to linesearch and trustregion methods, which are used to globalize convergence ... optimization iteration is sufficiently close to a solution. par The BFGS method is studied...

LSQR
 Referenced in 267 articles
[sw00530]
 Equations and Least Squares Problems. An iterative method is given for solving...

Wesseling
 Referenced in 256 articles
[sw09677]
 multigrid cycles, transfer operators, smoothing methods, and nested iteration, and defect correction. Cell centered ... Unix based computers. The methods used are fully described in the following book: An Introduction...

eigs
 Referenced in 286 articles
[sw03702]
 method in the symmetric case). Using a truncated variant of the implicitly shifted QRiteration ... Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages of the method...

GpBiCg
 Referenced in 52 articles
[sw07030]
 iterative method which is a hybrid of the BiCGSTAB and GPBiCG methods is proposed ... parameters of the BiCGSTAB method are adopted at even iteration step, and those ... GPBiCG method are used at odd iteration step. In the present GPBiCG(m,ℓ) method ... parameters of the BiCGSTAB method are adopted at consecutive m iteration steps, and afterwards those...

svdpack
 Referenced in 55 articles
[sw04819]
 SVDPACK comprises four numerical (iterative) methods for computing the singular value decomposition (SVD) of large ... software package implements Lanczos and subspace iterationbased methods for determining several of the largest...

ODEPACK
 Referenced in 135 articles
[sw08341]
 that arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these...

GQTPAR
 Referenced in 252 articles
[sw07451]
 optimal solution in a finite number of iterations. We also consider the use of this ... algorithm in a trust region Newton’s method. In particular, we prove that under reasonable ... region method. In our tests a call to GQTPAR only required 1.6 iterations...

DEVEX
 Referenced in 94 articles
[sw08378]
 code. Pivot column and row selection methods used by the Devex code since ... time. After a fresh look at the iteration process, the author introduces dynamic column weighting ... overall time and iteration advantages over the standard simplex methods used today. The final ... illustration highlights why these standard methods take so many iterations. These algorithms were originally coded...

tn
 Referenced in 100 articles
[sw05140]
 exploited to define a modified Newton method which can be applied to problems that ... 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...

RestoreTools
 Referenced in 45 articles
[sw04822]
 Iterative methods for image deblurring: A Matlab objectoriented approach. In iterative image restoration methods...

IRAM
 Referenced in 153 articles
[sw08795]
 method in the symmetric case). Using a truncated variant of the implicitly shifted QRiteration ... Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages of the method...

BILUM
 Referenced in 47 articles
[sw04015]
 direct method or a preconditioned iterative method...

NSPCG
 Referenced in 30 articles
[sw00636]
 equations by a variety of different iterative methods. One of the main purposes ... common modular structure for research on iterative methods for nonsymmetric matrices. Another purpose ... investigate the suitability of several iterative methods for vector computers.\parSince the vectorizability ... iterative method depends greatly on the matrix structure, NSPCG allows great flexibility in the operator...

SQPlab
 Referenced in 93 articles
[sw05161]
 stands for Sequential Quadratic Programming, a method invented in the midseventies, which ... optimality conditions of the optimization problem. Each iteration of the SQP algorithm requires finding ... Newton method, the SQP algorithm converges very rapidly, meaning that it requires few iterations (hence ... from the small number of iterations required by the method. If the rule above does...

HSL_MI20
 Referenced in 39 articles
[sw07246]
 most effective iterative methods for the solution of large, sparse linear systems obtained from...

QMRPACK
 Referenced in 77 articles
[sw00754]
 algorithm is a Krylovsubspace method for the iterative solution of large nonHermitian linear...

CVODES
 Referenced in 29 articles
[sw04946]
 corresponding nonlinear iteration methods, as well as all linear solver and preconditioner modules are available...

LSMR
 Referenced in 30 articles
[sw12940]
 sparse leastsquares problems. An iterative method LSMR is presented for solving linear systems ... analytically equivalent to the MINRES method applied to the normal equation ... residual for the current iterate x k ). We observe in practice that ∥r k ∥ also...

AIR tools
 Referenced in 19 articles
[sw09203]
 tools  a MATLAB package of algebraic iterative reconstruction methods. We present a MATLAB package with ... implementations of several algebraic iterative reconstruction (AIR) methods for discretizations of inverse problems. These ... classes of methods are implemented: Algebraic reconstruction techniques and simultaneous iterative reconstruction techniques. In addition ... medical and seismic tomography. For each iterative method, a number of strategies are available...