• LAPACK

  • Referenced in 1211 articles [sw00503]
  • routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems ... equations, eigenvalue problems, and singular value problems. The associated matrix factorizations (LU, Cholesky ... performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed...
  • Genocop

  • Referenced in 883 articles [sw04707]
  • input parameters) of a function; additional linear constraints (equations and inequalities) can be specified...
  • LINPACK

  • Referenced in 399 articles [sw04209]
  • Fortran subroutines that analyze and solve linear equations and linear least-squares problems. The package...
  • PETSc

  • Referenced in 663 articles [sw04012]
  • includes an expanding suite of parallel linear, nonlinear equation solvers and time integrators that...
  • ScaLAPACK

  • Referenced in 328 articles [sw00830]
  • contain routines for solving systems of linear equations, least squares problems, and eigenvalue problems ... dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... Cholesky factorization, matrix inversion, full-rank linear least squares problems, orthogonal and generalized orthogonal factorizations...
  • INTOPT_90

  • Referenced in 272 articles [sw04705]
  • arithmetic based methods for solving systems of equations and global optimization problems. The connection between ... pages) introduces interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval ... provides techniques to transform linear interval equations into ones which might have tighter solution intervals...
  • LSQR

  • Referenced in 237 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. An iterative method is given...
  • PLTMG

  • Referenced in 184 articles [sw00717]
  • package for solving elliptic partial differential equations in general regions of the plane ... solvers for the resulting systems of linear equations. PLTMG provides a suite of continuation options...
  • CLAPACK

  • Referenced in 87 articles [sw03112]
  • linear algebra problems, including systems of linear equations, linear least squares problems, eigenvalue problems...
  • IFISS

  • Referenced in 108 articles [sw04398]
  • preconditioned iterative solvers for the discrete linear equation systems that arise in incompressible flow modelling...
  • Maxima

  • Referenced in 90 articles [sw00560]
  • transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices...
  • SuperLU

  • Referenced in 90 articles [sw00930]
  • large, sparse, nonsymmetric systems of linear equations on high performance machines. The library is written...
  • INTLAB

  • Referenced in 277 articles [sw04004]
  • structured matrices) sparse s.p.d. linear systems systems of nonlinear equations (including unconstrained optimization) roots...
  • Gerris

  • Referenced in 122 articles [sw00341]
  • Euler, Stokes or Navier-Stokes equations Solves the linear and non-linear shallow-water equations...
  • PORTA

  • Referenced in 85 articles [sw04869]
  • vectors, or as a system of linear equations and inequalities. The name PORTA ... Fourier - Motzkin elimination algorithm which projects a linear system on subspaces xi = 0. This projection...
  • CSparse

  • Referenced in 84 articles [sw20382]
  • solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth ... programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required...
  • gfun

  • Referenced in 103 articles [sw00344]
  • given two generating functions defined by linear differential equations with polynomial coefficients, there...
  • ITSOL

  • Referenced in 150 articles [sw04031]
  • iterative solvers for general sparse linear systems of equations. ITSOL can be viewed...
  • DIMSYM

  • Referenced in 71 articles [sw04279]
  • determination of symmetries of differential equations. It also can be used to compute symmetries ... isometries), and also to solve linear partial differential equations. To use its primary function ... determining equations (a system of linear partial differential equations for the generator of the generic...
  • ML

  • Referenced in 80 articles [sw08067]
  • designed to solve large sparse linear systems of equations arising primarily from elliptic PDE discretizations ... with heat and mass transfer, linear and nonlinear elasticity equations, the Maxwell equations, semiconductor equations...