• LAPACK

  • Referenced in 1216 articles [sw00503]
  • squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated...
  • ARPACK

  • Referenced in 593 articles [sw04218]
  • Fortran77 subroutines designed to solve large scale eigenvalue problems. The package is designed to compute ... eigenvalues and corresponding eigenvectors of a general n by n matrix A. It is most ... designed to compute a few (k) eigenvalues with user specified features such as those...
  • JDQZ

  • Referenced in 421 articles [sw07031]
  • used for computing a few selected eigenvalues with some desirable property together with the associated...
  • INTLAB

  • Referenced in 279 articles [sw04004]
  • multivariate nonlinear equations (simple and clusters) eigenvalue problems (simple and clusters, also inner inclusions ... structured matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate functions univariate polynomial zeros...
  • eigs

  • Referenced in 273 articles [sw03702]
  • eigs: Largest eigenvalues and eigenvectors of matrix The author describes and analyses a new implementation ... Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general...
  • JDQR

  • Referenced in 369 articles [sw04021]
  • used for computing a few selected eigenvalues with some desirable property together with the associated...
  • EISPACK

  • Referenced in 351 articles [sw04208]
  • collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices...
  • ScaLAPACK

  • Referenced in 329 articles [sw00830]
  • linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency...
  • Eigtool

  • Referenced in 293 articles [sw07020]
  • eigs routine (ARPACK) for large-scale eigenvalue computations...
  • symrcm

  • Referenced in 233 articles [sw08566]
  • real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same...
  • ve08

  • Referenced in 122 articles [sw05141]
  • clustered eigenvalues at a minimizer x *, in which case conjugate gradient and limited memory variable ... since, except for certain test functions, the eigenvalue structure of G at or near...
  • HSL

  • Referenced in 145 articles [sw00418]
  • sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected...
  • IRAM

  • Referenced in 138 articles [sw08795]
  • Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general...
  • MatrixMarket

  • Referenced in 96 articles [sw04020]
  • services, from linear systems, least squares, and eigenvalue computations in a wide variety of scientific ... Saad’s SPARSKIT collection, and the Nonsymmetric Eigenvalue Problem (NEP) collection of Bai, Day, Demmel...
  • SLEPc

  • Referenced in 75 articles [sw00875]
  • SLEPc the Scalable Library for Eigenvalue Problem Computations, is a software library for the solution ... singular value decomposition or the quadratic eigenvalue problem...
  • QMRPACK

  • Referenced in 74 articles [sw00754]
  • also be used to obtain approximate eigenvalues of large non-Hermitian matrices. QMRPACK ... other for the computation of eigenvalue approximations. We present some numerical examples from applications where...
  • CLAPACK

  • Referenced in 87 articles [sw03112]
  • linear equations, linear least squares problems, eigenvalue problems, and singular value problems. Designed...
  • RICPAC

  • Referenced in 47 articles [sw15253]
  • generalized algebraic Riccati equations. The generalized eigenvalue problem provides a powerful framework for the solution ... certain associated Hamiltonian or symplectic generalized eigenvalue problems. Utilizing an embedding technique, the package also ... Ward’s balancing for the generalized eigenvalue problem are available to improve condition and accuracy...