• LAPACK

  • Referenced in 1702 articles [sw00503]
  • simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular...
  • LINPACK

  • Referenced in 520 articles [sw04209]
  • equations and linear least-squares problems. The package solves linear systems whose matrices are general...
  • ScaLAPACK

  • Referenced in 418 articles [sw00830]
  • contain routines for solving systems of linear equations, least squares problems, and eigenvalue problems ... 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 ... clusters of workstations, and any system for which PVM or MPI is available.\parEach Users...
  • Bertini

  • Referenced in 253 articles [sw06683]
  • preserves the straightline quality of an input system. Uses homogenization to accurately compute solutions ... sampling and membership testing. Accepts square or nonsquare systems...
  • MatrixMarket

  • Referenced in 169 articles [sw04020]
  • generation software and services, from linear systems, least squares, and eigenvalue computations in a wide...
  • CGS

  • Referenced in 329 articles [sw08225]
  • linear systems. The presented method is a combination of the CGS algorithm (a “squared” conjugate ... competitive solver for nonsymmetric linear systems, at least for problems that are not too large...
  • PROPACK

  • Referenced in 109 articles [sw04019]
  • equations and linear least squares problems, in particular for systems with multiple right-hand sides...
  • nlmdl

  • Referenced in 119 articles [sw27811]
  • univariate nonlinear regression model and generalized least squares estimates for a multivariate nonlinear regression model ... heteroskedasticity and/or serial correlation. For simultaneous nonlinear systems, possibly in implicit form, it computes ... three-stage least-squares estimates, TSLS option, and for nonlinear dynamic systems, possibly in implicit...
  • alphaCertified

  • Referenced in 50 articles [sw07351]
  • Algorithm 921: alphaCertified: Certifying solutions to polynomial systems. Smale’s α-theory uses estimates related ... converge quadratically to solutions to a square polynomial system. The program alphaCertified implements algorithms based...
  • LSMR

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

  • Referenced in 195 articles [sw00930]
  • system solves through forward and back substitution. The LU factorization routines can handle non-square ... triangular solves are performed only for square matrices. The matrix columns may be preordered (before ... Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative...
  • CLAPACK

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

  • Referenced in 99 articles [sw08012]
  • least-squares solution is computed. Singularities induced by the coordinate system are handled, including...
  • SuperLU-DIST

  • Referenced in 90 articles [sw00002]
  • system solves through forward and back substitution. The LU factorization routines can handle non-square ... triangular solves are performed only for square matrices. The matrix columns may be preordered (before ... Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative...
  • Blendenpik

  • Referenced in 43 articles [sw09210]
  • describe a least-squares solver for dense highly overdetermined systems that achieves residuals similar...
  • SPARSPAK

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

  • Referenced in 29 articles [sw00956]
  • package for solving systems of nonlinear equations and nonlinear least-squares problems using tensor methods...
  • LSRN

  • Referenced in 27 articles [sw09555]
  • over- or underdetermined systems. We describe a parallel iterative least squares solver named LSRN that ... prove that the preconditioned system is well-conditioned, with a strong concentration result ... DGELSD and a fast randomized least squares solver called Blendenpik on large dense problems...