• LOBPCG

  • Referenced in 32 articles [sw09638]
  • methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic PDE eigenvalue problems ... discretized such that the resulting matrix eigenvalue problem Ax=λx exhibits Kronecker product structure ... approaches to the solution of matrix eigenvalue problems fail due to the exponentially growing degrees ... rank variant of LOBPCG, a classical preconditioned eigenvalue solver. We also show...
  • CIRR

  • Referenced in 40 articles [sw12618]
  • method with contour integral for generalized eigenvalue problems. We consider a Rayleigh-Ritz type eigensolver ... certain region of generalized eigenvalue problems. When the matrices are very large, iterative methods ... circle that contains relatively small number of eigenvalues is used to construct a subspace. Since...
  • NLEIGS

  • Referenced in 30 articles [sw22547]
  • fully rational Krylov methods for nonlinear eigenvalue problems. A new rational Krylov method ... efficient solution of nonlinear eigenvalue problems, $A(lambda)x = 0$, is proposed. This iterative method ... fully rational Krylov method for nonlinear eigenvalue problems (abbreviated as NLEIGS), is based on linear ... type linearization for obtaining a generalized eigenvalue problem with special structure. This structure is particularly...
  • PRIMME

  • Referenced in 48 articles [sw04023]
  • Iterative MultiMethod Eigensolver. Symmetric and Hermitian eigenvalue problems enjoy a remarkable theoretical structure that allows ... engineering, and some QCD applications routinely compute eigenvalues of matrices of dimension more than...
  • ABLE

  • Referenced in 33 articles [sw12726]
  • Block Lanczos Method for Non-Hermitian Eigenvalue Problems. This work presents an adaptive block Lanczos ... method for large-scale non-Hermitian Eigenvalue problems (henceforth the ABLE method). The ABLE method ... order of multiple or clustered eigenvalues. Second, stopping criteria are developed that exploit the semiquadratic ... Each innovation is theoretically justified. Academic model problems and real application problems are solved...
  • EIGIFP

  • Referenced in 43 articles [sw00235]
  • eigenvectors of the large symmetric generalized eigenvalue problem $Ax = \lambda Bx$. It is a black...
  • ERATO

  • Referenced in 39 articles [sw11922]
  • problem with sufficient accuracy. The eigenvalue problem Ax= Omega squared Bx is solved by VEKIT...
  • LSTRS

  • Referenced in 30 articles [sw04729]
  • LSTRS is designed for large-scale quadratic problems with one norm constraint. The method ... trust-region subproblem as a parameterized eigenvalue problem, and consists of an iterative procedure that ... solution of a large-scale eigenvalue problem at each step. LSTRS relies on matrix-vector...
  • symrcm

  • Referenced in 385 articles [sw08566]
  • matrices that come from long, skinny problems. The ordering works for both symmetric and nonsymmetric ... real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same...
  • EISPACK

  • Referenced in 486 articles [sw04208]
  • collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices ... value decomposition to solve certain least-squares problems. EISPACK has been superseded for the most...
  • quadeig

  • Referenced in 32 articles [sw11532]
  • complete solution of quadratic eigenvalue problems. We develop a new algorithm for the computation ... eigenvalues and optionally the right and left eigenvectors of dense quadratic matrix polynomials. It incorporates ... scaling of the problem parameters prior to the computation of eigenvalues, a choice of linearization...
  • KSSOLV

  • Referenced in 34 articles [sw06806]
  • solving a class of nonlinear eigenvalue problems known as the Kohn-Sham equations. These types...
  • MultiParEig

  • Referenced in 19 articles [sw14684]
  • MultiParEig: Toolbox for multiparameter eigenvalue problems. Toolbox contains numerical methods for multiparameter eigenvalue problems (MEPs...
  • bvpsuite

  • Referenced in 25 articles [sw08540]
  • problems posed on semi-infinite intervals, eigenvalue problems and differential algebraic equations of index...
  • COBRA

  • Referenced in 26 articles [sw02211]
  • performs this assessment by solving an eigenvalue problem in the form of a linear second ... configuration. An initial approximation for the eigenvalue is obtained from a fast second order matrix...
  • PEPACK

  • Referenced in 25 articles [sw04060]
  • numerical solution of palindromic and even eigenvalue problems using the Pencil Laub Trick. The package...
  • SLEUTH

  • Referenced in 17 articles [sw00876]
  • SLEUTH for solving fourth-order Sturm-Liouville problems. We describe a new code (SLEUTH ... point fourth-order Sturm-Liouville eigenvalue problems. Eigenvalues are computed according to index: the user...
  • TenEig

  • Referenced in 24 articles [sw14671]
  • bound and the structures of tensor eigenvalue problems, we propose two homotopy continuation type algorithms...
  • P - ARPACK

  • Referenced in 21 articles [sw09265]
  • method used for solving large sparse eigenvalue problems. A parallel implementation of ARPACK is presented...
  • BLZPACK

  • Referenced in 14 articles [sw13005]
  • solution of the standard eigenvalue problem Ax=µx or the generalized eigenvalue problem Ax=µBx...