• ARPACK

  • Referenced in 848 articles [sw04218]
  • package is designed to compute a few eigenvalues and corresponding eigenvectors of a general ... software is designed to compute a few (k) eigenvalues with user specified features such ... desired k-dimensional eigen-space is computed which is numerically orthogonal to working precision. Numerically...
  • Eigtool

  • Referenced in 537 articles [sw07020]
  • EigTool is a free MATLAB package for computing pseudospectra of dense and sparse matrices ... eigs routine (ARPACK) for large-scale eigenvalue computations...
  • EISPACK

  • Referenced in 490 articles [sw04208]
  • collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices...
  • JDQZ

  • Referenced in 610 articles [sw07031]
  • algorithm can be used for computing a few selected eigenvalues with some desirable property together ... Jacobi-Davidson method is used to compute a partial generalized Schur decomposition of the pair...
  • eigs

  • Referenced in 325 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 ... method are discussed and some preliminary computational results using parallel and vector computers are given...
  • JDQR

  • Referenced in 513 articles [sw04021]
  • algorithm can be used for computing a few selected eigenvalues with some desirable property together ... Jacobi-Davidson method is used to compute a partial Schur decomposition of A. The decomposition...
  • MatrixMarket

  • Referenced in 170 articles [sw04020]
  • 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...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated ... Schur) are also provided, as are related computations such as reordering of the Schur factorizations...
  • SLEPc

  • Referenced in 200 articles [sw00875]
  • SLEPc the Scalable Library for Eigenvalue Problem Computations, is a software library for the solution ... large sparse eigenproblems on parallel computers. It can be used for the solution of problems ... singular value decomposition or the quadratic eigenvalue problem...
  • IRAM

  • Referenced in 205 articles [sw08795]
  • Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general ... method are discussed and some preliminary computational results using parallel and vector computers are given...
  • NAPACK

  • Referenced in 71 articles [sw11666]
  • problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition...
  • PRIMME

  • Referenced in 51 articles [sw04023]
  • PReconditioned Iterative MultiMethod Eigensolver. Symmetric and Hermitian eigenvalue problems enjoy a remarkable theoretical structure that ... eigenproblems to push their accuracy and thus computational demands to unprecedented levels. Materials science, structural ... engineering, and some QCD applications routinely compute eigenvalues of matrices of dimension more than...
  • QMRPACK

  • Referenced in 78 articles [sw00754]
  • also be used to obtain approximate eigenvalues of large non-Hermitian matrices. QMRPACK ... systems and the other for the computation of eigenvalue approximations. We present some numerical examples...
  • ScaLAPACK

  • Referenced in 421 articles [sw00830]
  • workstations, vector supercomputers, and shared memory parallel computers. Both libraries contain routines for solving systems ... linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency ... library for a number of computers, example programs, and the full set of LAPACK Working...
  • SLEIGN2

  • Referenced in 41 articles [sw01230]
  • SLEIGN2 code is to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm...
  • Algorithm 922

  • Referenced in 38 articles [sw12858]
  • element method for Helmholtz transmission eigenvalues. Transmission eigenvalue problem has important applications in inverse scattering ... self-adjoint, the computation of transmission eigenvalues needs special treatment. Based on a fourth-order ... eigenvalue problem, an iterative algorithm using restarted Arnoldi method is proposed. To make the computation ... inverse scattering and modified to compute transmission eigenvalues for other models such as elasticity problem...
  • INTLAB

  • Referenced in 472 articles [sw04004]
  • INTLAB is the Matlab toolbox for reliable computing and self-validating algorithms. It comprises ... 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 ... very fast) automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve systems of nonlinear...
  • symrcm

  • Referenced in 390 articles [sw08566]
  • real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same ... probably takes less time to compute than...
  • Differentiation Matrix Suite

  • Referenced in 254 articles [sw12762]
  • conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated ... package for solving eigenvalue, boundary value, and initial value problems arising in the fields...
  • quadeig

  • Referenced in 34 articles [sw11532]
  • algorithm for the computation of all the eigenvalues and optionally the right and left eigenvectors ... problem parameters prior to the computation of eigenvalues, a choice of linearization with favorable conditioning...