• # FEAST

• Referenced in 83 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...
• # QMRPACK

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

• Referenced in 61 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...
• # Ninf-G/MPI

• Referenced in 45 articles [sw03461]
• hybrid parallel method for large sparse eigenvalue problems on a grid computing environment using Ninf ... hybrid parallel method for large sparse eigenvalue problems in a grid computing environment. A moment ... based method that finds several eigenvalues and their corresponding eigenvectors in a given domain...
• # Algorithm 922

• Referenced in 32 articles [sw12858]
• mixed finite element method for Helmholtz transmission eigenvalues. Transmission eigenvalue problem has important applications ... self-adjoint, the computation of transmission eigenvalues needs special treatment. Based on a fourth-order ... reformulation of the transmission eigenvalue problem, a mixed finite element method is applied. The method ... formulation leads to a generalized eigenvalue problem naturally without the need to invert a related...
• # PRIMME

• Referenced in 44 articles [sw04023]
• PReconditioned Iterative MultiMethod Eigensolver. Symmetric and Hermitian eigenvalue problems enjoy a remarkable theoretical structure that ... engineering, and some QCD applications routinely compute eigenvalues of matrices of dimension more than...
• # EIGIFP

• Referenced in 41 articles [sw00235]
• MATLAB program for computing a few extreme eigenvalues and eigenvectors of the large symmetric generalized ... eigenvalue problem $Ax = \lambda Bx$. It is a black-box implementation of an inverse free...
• # LOBPCG

• Referenced in 31 articles [sw09638]
• rank methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic PDE eigenvalue problems ... domain, discretized such that the resulting matrix eigenvalue problem Ax=λx exhibits Kronecker product structure ... standard approaches to the solution of matrix eigenvalue problems fail due to the exponentially growing ... rank variant of LOBPCG, a classical preconditioned eigenvalue solver. We also show...
• # CIRR

• Referenced in 32 articles [sw12618]
• Ritz method with contour integral for generalized eigenvalue problems. We consider a Rayleigh-Ritz type ... eigensolver for finding a limited set of eigenvalues and their corresponding eigenvectors in a certain ... region of generalized eigenvalue problems. When the matrices are very large, iterative methods are used ... circle that contains relatively small number of eigenvalues is used to construct a subspace. Since...
• 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 ... called fully rational Krylov method for nonlinear eigenvalue problems (abbreviated as NLEIGS), is based ... companion-type linearization for obtaining a generalized eigenvalue problem with special structure. This structure...