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  • LAPACK
  • Referenced in 1480 articles [sw00503]
  • squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated...

  • ARPACK
  • Referenced in 718 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 514 articles [sw07031]
  • used for computing a few selected eigenvalues with some desirable property together with the associated...

  • INTLAB
  • Referenced in 350 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...

  • EISPACK
  • Referenced in 459 articles [sw04208]
  • collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices...

  • JDQR
  • Referenced in 438 articles [sw04021]
  • used for computing a few selected eigenvalues with some desirable property together with the associated...

  • eigs
  • Referenced in 299 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...

  • Eigtool
  • Referenced in 408 articles [sw07020]
  • eigs routine (ARPACK) for large-scale eigenvalue computations...

  • ScaLAPACK
  • Referenced in 375 articles [sw00830]
  • linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency...

  • symrcm
  • Referenced in 327 articles [sw08566]
  • real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same...

  • HSL
  • Referenced in 226 articles [sw00418]
  • sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected...

  • ve08
  • Referenced in 131 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...

  • IRAM
  • Referenced in 170 articles [sw08795]
  • Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general...

  • SLEPc
  • Referenced in 121 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...

  • MatrixMarket
  • Referenced in 120 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...

  • lobpcg.m
  • Referenced in 92 articles [sw24008]
  • preconditioned conjugate gradient (LOBPCG) method for symmetric eigenvalue problems, based on a local optimization ... linear equations under the assumption that the eigenvalue is known. We recommend that every...

  • NLEVP
  • Referenced in 79 articles [sw04058]
  • NLEVP: A Collection of Nonlinear Eigenvalue Problems. This MATLAB Toolbox provides a collection of nonlinear ... eigenvalue problems. It contains problems from models of real-life applications as well as problems...

  • QMRPACK
  • Referenced in 77 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...