• INTLAB

  • Referenced in 472 articles [sw04004]
  • also inner inclusions and structured matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate...
  • ARPACK

  • Referenced in 848 articles [sw04218]
  • compute a few eigenvalues and corresponding eigenvectors of a general n by n matrix ... 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...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated ... matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related...
  • libMesh

  • Referenced in 154 articles [sw06657]
  • provided for solving both standard and generalized eigenvalue problems...
  • RICPAC

  • Referenced in 65 articles [sw15253]
  • generalized algebraic Riccati equations. The generalized eigenvalue problem provides a powerful framework for the solution ... 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 490 articles [sw04208]
  • compute the eigenvalues and eigenvectors of nine classes of matrices: complex general, complex Hermitian, real...
  • FEAST

  • Referenced in 92 articles [sw04025]
  • library for solving the standard or generalized eigenvalue problem, and obtaining all the eigenvalues ... multiple right-hand sides and one reduced eigenvalue problem orders of magnitude smaller than ... accuracy, and scalability on parallel architectures. This general purpose FEAST solver package includes both reverse...
  • eigs

  • Referenced in 325 articles [sw03702]
  • computing a few eigenvalues and the corresponding eigenvectors of a large general square matrix (which...
  • CIRR

  • Referenced in 41 articles [sw12618]
  • Ritz method with contour integral for generalized eigenvalue problems. We consider a Rayleigh-Ritz type ... eigenvectors in a certain region of generalized eigenvalue problems. When the matrices are very large...
  • EIGIFP

  • Referenced in 46 articles [sw00235]
  • eigenvectors of the large symmetric generalized eigenvalue problem $Ax = \lambda Bx$. It is a black...
  • IRAM

  • Referenced in 205 articles [sw08795]
  • computing a few eigenvalues and the corresponding eigenvectors of a large general square matrix (which...
  • Algorithm 922

  • Referenced in 38 articles [sw12858]
  • fourth-order 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...
  • JDQZ

  • Referenced in 610 articles [sw07031]
  • used for computing a few selected eigenvalues with some desirable property together with the associated ... method is used to compute a partial generalized Schur decomposition of the pair...
  • NLEIGS

  • Referenced in 34 articles [sw22547]
  • nonlinear eigenvalue problems (abbreviated as NLEIGS), is based on linear rational interpolation and generalizes ... companion-type linearization for obtaining a generalized eigenvalue problem with special structure. This structure...
  • SLEPc

  • Referenced in 200 articles [sw00875]
  • SLEPc the Scalable Library for Eigenvalue Problem Computations, is a software library for the solution ... problems formulated in either standard or generalized form, as well as other related problems such ... singular value decomposition or the quadratic eigenvalue problem...
  • TenEig

  • Referenced in 25 articles [sw14671]
  • introduce the concept of mode-k generalized eigenvalues and eigenvectors of a tensor and prove ... number of equivalence classes of generalized tensor eigenpairs using mixed volume. Based on this bound ... structures of tensor eigenvalue problems, we propose two homotopy continuation type algorithms to solve tensor ... find all equivalence classes of isolated generalized eigenpairs and some generalized eigenpairs contained...
  • ve08

  • Referenced in 150 articles [sw05141]
  • 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 ... since, except for certain test functions, the eigenvalue structure of G at or near...
  • QNMspectral

  • Referenced in 19 articles [sw28088]
  • equation(s) and solving the resulting generalized eigenvalue equation. It is applicable to a large...
  • BLZPACK

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

  • Referenced in 421 articles [sw00830]
  • linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency ... rank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions...