
LAPACK
 Referenced in 1510 articles
[sw00503]
 squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated...

ARPACK
 Referenced in 732 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 515 articles
[sw07031]
 used for computing a few selected eigenvalues with some desirable property together with the associated...

INTLAB
 Referenced in 356 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 460 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 411 articles
[sw07020]
 eigs routine (ARPACK) for largescale eigenvalue computations...

ScaLAPACK
 Referenced in 380 articles
[sw00830]
 linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency...

symrcm
 Referenced in 331 articles
[sw08566]
 real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same...

HSL
 Referenced in 232 articles
[sw00418]
 sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected...

ve08
 Referenced in 132 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 171 articles
[sw08795]
 Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general...

SLEPc
 Referenced in 122 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 122 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 93 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 83 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 reallife applications as well as problems...

QMRPACK
 Referenced in 77 articles
[sw00754]
 also be used to obtain approximate eigenvalues of large nonHermitian matrices. QMRPACK ... other for the computation of eigenvalue approximations. We present some numerical examples from applications where...