
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, fullrank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal...

LINPACK
 Referenced in 525 articles
[sw04209]
 solve linear equations and linear leastsquares 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 leastsquares problems. LINPACK uses columnoriented algorithms...

LAPACK
 Referenced in 1713 articles
[sw00503]
 linear equations, leastsquares 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...

HarwellBoeing 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, mixedinteger 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 leastsquares 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...

SPARSEQR
 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 builtin MATLAB...

MINRESQLP
 Referenced in 28 articles
[sw11181]
 symmetric and Hermitian linear equations and leastsquares problems. We describe algorithm MINRES ... solving symmetric or Hermitian linear systems or leastsquares problems. If the system is singular...

Bolasso
 Referenced in 29 articles
[sw31649]
 bootstrap. We consider the leastsquare linear regression problem with regularization by the l1norm...

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 leastsquares operators related to linearized inverse medium problems with multiple events ... Born approximation, we obtain a linear leastsquares problem. The scheme we describe in this ... operator (the operator in the linearized leastsquares problem). The main feature of the method...

Ceres Solver
 Referenced in 10 articles
[sw20619]
 used to solve Nonlinear Least Squares problems with bounds constraints and general unconstrained optimization...

ParNes
 Referenced in 12 articles
[sw08366]
 lasso problem, i.e., an underdetermined linear leastsquares problem with a 1norm 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 1norm solution to an underdetermined least squares problem...

Algorithm 587
 Referenced in 11 articles
[sw05261]
 Algorithms for the Linearly Constrained Least Squares Problem...

COLAMD
 Referenced in 33 articles
[sw00145]
 that arise in leastsquares problems and interior point methods for linear programming problems...