• LAPACK

  • Referenced in 1443 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 1004 articles [sw04707]
  • input parameters) of a function; additional linear constraints (equations and inequalities) can be specified...
  • PETSc

  • Referenced in 885 articles [sw04012]
  • includes an expanding suite of parallel linear, nonlinear equation solvers and time integrators that...
  • LINPACK

  • Referenced in 454 articles [sw04209]
  • Fortran subroutines that analyze and solve linear equations and linear least-squares problems. The package...
  • ScaLAPACK

  • Referenced in 372 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 293 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 295 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. An iterative method is given...
  • PLTMG

  • Referenced in 202 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...
  • IFISS

  • Referenced in 161 articles [sw04398]
  • preconditioned iterative solvers for the discrete linear equation systems that arise in incompressible flow modelling...
  • CSparse

  • Referenced in 136 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...
  • SuperLU

  • Referenced in 131 articles [sw00930]
  • large, sparse, nonsymmetric systems of linear equations on high performance machines. The library is written...
  • Maxima

  • Referenced in 111 articles [sw00560]
  • transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices...
  • Gerris

  • Referenced in 177 articles [sw00341]
  • Euler, Stokes or Navier-Stokes equations Solves the linear and non-linear shallow-water equations...
  • CLAPACK

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

  • Referenced in 104 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...
  • INTLAB

  • Referenced in 330 articles [sw04004]
  • structured matrices) sparse s.p.d. linear systems systems of nonlinear equations (including unconstrained optimization) roots...
  • HSL

  • Referenced in 215 articles [sw00418]
  • solution of sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered...
  • PARDISO

  • Referenced in 202 articles [sw00679]
  • large sparse symmetric and unsymmetric linear systems of equations on shared-memory and distributed-memory...
  • lobpcg.m

  • Referenced in 90 articles [sw24008]
  • corresponding homogeneous system of linear equations under the assumption that the eigenvalue is known...
  • gfun

  • Referenced in 115 articles [sw00344]
  • given two generating functions defined by linear differential equations with polynomial coefficients, there...