
INTLAB
 Referenced in 311 articles
[sw04004]
 also inner inclusions and structured matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate...

LAPACK
 Referenced in 1393 articles
[sw00503]
 linear systems of equations, eigenvalue problems, and singular value problems. The associated matrix factorizations ... Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such...

ARPACK
 Referenced in 674 articles
[sw04218]
 compute a few eigenvalues and corresponding eigenvectors of a general n by n matrix ... technique that is suitable for large scale problems. For many standard problems, a matrix factorization ... solving large scale symmetric, nonsymmetric, and generalized eigenproblems from significant application areas. The software ... designed to compute a few (k) eigenvalues with user specified features such as those...

libMesh
 Referenced in 88 articles
[sw06657]
 provided for solving both standard and generalized eigenvalue problems...

RICPAC
 Referenced in 52 articles
[sw15253]
 generalized algebraic Riccati equations. The generalized eigenvalue problem provides a powerful framework for the solution ... derived from control and filtering problems for systems in generalized (or implicit or descriptor) state ... 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...

EISPACK
 Referenced in 450 articles
[sw04208]
 eigenvalues and eigenvectors of nine classes of matrices: complex general, complex Hermitian, real general, real ... symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matices. In addition ... value decomposition to solve certain leastsquares problems. EISPACK has been superseded for the most...

FEAST
 Referenced in 40 articles
[sw04025]
 library for solving the standard or generalized eigenvalue problem, and obtaining all the eigenvalues ... righthand sides and one reduced eigenvalue problem orders of magnitude smaller than the original ... accuracy, and scalability on parallel architectures. This general purpose FEAST solver package includes both reverse...

CIRR
 Referenced in 18 articles
[sw12618]
 Ritz method with contour integral for generalized eigenvalue problems. We consider a RayleighRitz type ... eigenvectors in a certain region of generalized eigenvalue problems. When the matrices are very large...

Algorithm 922
 Referenced in 19 articles
[sw12858]
 fourthorder reformulation of the transmission eigenvalue problem, a mixed finite element method is applied ... formulation leads to a generalized eigenvalue problem naturally without the need to invert a related...

BLZPACK
 Referenced in 14 articles
[sw13005]
 eigenvalue problem Ax=µx or the generalized eigenvalue problem Ax=µBx, where...

SLEPc
 Referenced in 96 articles
[sw00875]
 SLEPc the Scalable Library for Eigenvalue Problem Computations, is a software library for the solution ... solution of problems formulated in either standard or generalized form, as well as other related ... singular value decomposition or the quadratic eigenvalue problem...

ScaLAPACK
 Referenced in 361 articles
[sw00830]
 linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency ... fullrank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions...

NLEIGS
 Referenced in 12 articles
[sw22547]
 nonlinear eigenvalue problems (abbreviated as NLEIGS), is based on linear rational interpolation and generalizes ... companiontype linearization for obtaining a generalized eigenvalue problem with special structure. This structure...

EIGIFP
 Referenced in 9 articles
[sw00235]
 eigenvectors of the large symmetric generalized eigenvalue problem $Ax = \lambda Bx$. It is a black...

Sips
 Referenced in 7 articles
[sw20921]
 numbers of eigenpairs for sparse symmetric generalized eigenvalue problems. The development of SIPs is motivated...

NAPACK
 Referenced in 65 articles
[sw11666]
 solve least squares problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value ... decomposition. The package has special routines for general, band, symmetric, indefinite, tridiagonal, upper Hessenberg...

HPDDM
 Referenced in 5 articles
[sw15717]
 computed automatically by the framework using: Generalized Eigenvalue problems on the Overlap (GenEO), an approach...

PDE2D
 Referenced in 39 articles
[sw04270]
 equation problems, including nonlinear timedependent and steadystate systems, and linear eigenvalue systems ... intervals, general 2D regions, and a wide range of simple 3D regions. The software itself...

TraceMIN
 Referenced in 3 articles
[sw13112]
 Often, the large size of these eigenvalue problems requires the development of eigensolvers that scale ... eigensolver for the symmetric generalized eigenvalue problem, the trace minimization scheme TraceMIN  developed...

ve08
 Referenced in 125 articles
[sw05141]
 partially separable functions We consider the problem of minimizing a smooth objective function ... clustered eigenvalues at a minimizer x *, in which case conjugate gradient and limited memory variable ... found to work quite well. However, in general, the performance of these methods is rather...