
INTLAB
 Referenced in 277 articles
[sw04004]
 also inner inclusions and structured matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate...

LAPACK
 Referenced in 1211 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 592 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...

RICPAC
 Referenced in 47 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...

libMesh
 Referenced in 64 articles
[sw06657]
 provided for solving both standard and generalized eigenvalue problems...

EISPACK
 Referenced in 350 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 EISPACK has been superseded for the most...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 27 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 15 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 15 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 13 articles
[sw13005]
 eigenvalue problem Ax=µx or the generalized eigenvalue problem Ax=µBx, where...

ScaLAPACK
 Referenced in 328 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...

SLEPc
 Referenced in 75 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...

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

NAPACK
 Referenced in 59 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...

PDE2D
 Referenced in 36 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...

PHOENIX
 Referenced in 3 articles
[sw02606]
 discretization. This leads to a large generalized eigenvalue problem, which is solved by means...

ve08
 Referenced in 122 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...

DGGHR3
 Referenced in 2 articles
[sw13050]
 matrix polynomial and solving the resulting generalized eigenvalue problem using the QZ algorithm ... exploiting parallel implementation can outperform both the general LAPACK routine DGGHRD and the prototype implementation...

DGGHRD
 Referenced in 2 articles
[sw13051]
 matrix polynomial and solving the resulting generalized eigenvalue problem using the QZ algorithm ... exploiting parallel implementation can outperform both the general LAPACK routine DGGHRD and the prototype implementation...

TraceMIN
 Referenced in 2 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...