• KELLEY

  • Referenced in 546 articles [sw04829]
  • Iterative methods for optimization This book gives an introduction to optimization methods for unconstrained ... devoted to line-search and trust-region methods, which are used to globalize convergence ... optimization iteration is sufficiently close to a solution. par The BFGS method is studied...
  • LSQR

  • Referenced in 297 articles [sw00530]
  • Equations and Least Squares Problems. An iterative method is given for solving...
  • Wesseling

  • Referenced in 278 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 294 articles [sw03702]
  • method in the symmetric case). Using a truncated variant of the implicitly shifted QR-iteration ... Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages of the method...
  • GpBiCg

  • Referenced in 55 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...
  • ODEPACK

  • Referenced in 150 articles [sw08341]
  • that arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these...
  • svdpack

  • Referenced in 57 articles [sw04819]
  • SVDPACK comprises four numerical (iterative) methods for computing the singular value decomposition (SVD) of large ... software package implements Lanczos and subspace iteration-based methods for determining several of the largest...
  • GQTPAR

  • Referenced in 276 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...
  • tn

  • Referenced in 106 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...
  • DEVEX

  • Referenced in 96 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...
  • IRAM

  • Referenced in 166 articles [sw08795]
  • method in the symmetric case). Using a truncated variant of the implicitly shifted QR-iteration ... Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages of the method...
  • RestoreTools

  • Referenced in 47 articles [sw04822]
  • Iterative methods for image deblurring: A Matlab object-oriented approach. In iterative image restoration methods...
  • SQPlab

  • Referenced in 102 articles [sw05161]
  • stands for Sequential Quadratic Programming, a method invented in the mid-seventies, 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...
  • 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...
  • HSL_MI20

  • Referenced in 42 articles [sw07246]
  • most effective iterative methods for the solution of large, sparse linear systems obtained from...
  • LSMR

  • Referenced in 40 articles [sw12940]
  • sparse least-squares 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 27 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...
  • QMRPACK

  • Referenced in 77 articles [sw00754]
  • algorithm is a Krylov-subspace method for the iterative solution of large non-Hermitian linear...
  • softImpute

  • Referenced in 35 articles [sw12263]
  • Completion via Iterative Soft-Thresholded SVD. Iterative methods for matrix completion that use nuclear-norm ... main approaches.The one approach uses iterative soft-thresholded svds to impute the missing values...