• ScaLAPACK

  • Referenced in 421 articles [sw00830]
  • routines for solving systems of linear equations, least squares problems, and eigenvalue problems. The goals ... solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... factorization, matrix inversion, full-rank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal...
  • LINPACK

  • Referenced in 525 articles [sw04209]
  • solve linear equations and linear least-squares problems. The package solves linear systems whose matrices ... indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition, the package computes ... rectangular matrices and applies them to least-squares problems. LINPACK uses column-oriented algorithms...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value...
  • LSQR

  • Referenced in 410 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. An iterative method is given...
  • Harwell-Boeing sparse matrix collection

  • Referenced in 217 articles [sw08516]
  • test set comprises problems in linear systems, least squares, and eigenvalue calculations from a wide ... variety of scientific and engineering disciplines. The problems range from small matrices, used as counter...
  • PROPACK

  • Referenced in 113 articles [sw04019]
  • linear systems of equations and linear least squares problems, in particular for systems with multiple...
  • CLAPACK

  • Referenced in 90 articles [sw03112]
  • numerical linear algebra problems, including systems of linear equations, linear least squares problems, eigenvalue problems...
  • Optimization Toolbox

  • Referenced in 312 articles [sw10828]
  • Solve linear, quadratic, integer, and nonlinear optimization problems. Optimization Toolbox™ provides functions for finding parameters ... linear programming, mixed-integer linear programming, quadratic programming, nonlinear optimization, and nonlinear least squares ... find optimal solutions to continuous and discrete problems, perform tradeoff analyses, and incorporate optimization methods...
  • LSMR

  • Referenced in 76 articles [sw12940]
  • presented for solving linear systems Ax=b and least-squares problems...
  • VanHuffel

  • Referenced in 231 articles [sw05243]
  • problem: computational aspects and analysis. Total least squares (TLS) is one of the several linear...
  • CGS

  • Referenced in 329 articles [sw08225]
  • combination of the CGS algorithm (a “squared” conjugate gradient method) with a preconditioning called ILLU ... competitive solver for nonsymmetric linear systems, at least for problems that are not too large...
  • SPARSE-QR

  • Referenced in 17 articles [sw05215]
  • sparse QR factorization. Sparse linear least squares problems are instead solved by the augmented system ... expensive, and the reformulation of the sparse problem into dense subproblems is advantageous. Using ... solution of sparse linear least squares problems and compare these with the built-in MATLAB...
  • MINRES-QLP

  • Referenced in 28 articles [sw11181]
  • symmetric and Hermitian linear equations and least-squares problems. We describe algorithm MINRES ... solving symmetric or Hermitian linear systems or least-squares problems. If the system is singular...
  • Bolasso

  • Referenced in 29 articles [sw31649]
  • bootstrap. We consider the least-square linear regression problem with regularization by the l1-norm...
  • SPARSPAK

  • Referenced in 39 articles [sw04309]
  • sparse systems of linear equations and large sparse least squares problems...
  • FaIMS

  • Referenced in 9 articles [sw06425]
  • fast algorithm for the inverse medium problem with multiple frequencies and multiple sources ... decomposition (SVD) of least-squares operators related to linearized inverse medium problems with multiple events ... Born approximation, we obtain a linear least-squares problem. The scheme we describe in this ... operator (the operator in the linearized least-squares problem). The main feature of the method...
  • Ceres Solver

  • Referenced in 10 articles [sw20619]
  • used to solve Non-linear Least Squares problems with bounds constraints and general unconstrained optimization...
  • ParNes

  • Referenced in 12 articles [sw08366]
  • lasso problem, i.e., an underdetermined linear least-squares problem with a 1-norm constraint ... guaranteed to be almost always locally linearly convergent. As in the case of the algorithm ... provably optimal manner. The aforementioned linear convergence is in part due to this modification ... bpdn) problem (i.e., approximating the minimum 1-norm solution to an underdetermined least squares problem...
  • COLAMD

  • Referenced in 33 articles [sw00145]
  • that arise in least-squares problems and interior point methods for linear programming problems...