
Eigtool
 Referenced in 537 articles
[sw07020]
 EigTool is a free MATLAB package for computing pseudospectra of dense and sparse matrices ... eigs routine (ARPACK) for largescale eigenvalue computations...

HarwellBoeing sparse matrix collection
 Referenced in 217 articles
[sw08516]
 problems in linear systems, least squares, and eigenvalue calculations from a wide variety of scientific ... matrix research, to large test cases arising in largescale computation. We offer the collection...

HSL
 Referenced in 284 articles
[sw00418]
 packages for largescale scientific computation written and developed by the Numerical Analysis Group ... sparse linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected...

NLEIGS
 Referenced in 34 articles
[sw22547]
 companiontype linearization for obtaining a generalized eigenvalue problem with special structure. This structure ... Krylov method. A new approach for the computation of rational divided differences using matrix functions ... shown that NLEIGS has a computational cost comparable to the Newton rational Krylov method ... approximation techniques for increased computational efficiency. Small and largescale numerical examples are included. From...

FEAST
 Referenced in 92 articles
[sw04025]
 from explicit orthogonalization procedures, and its main computational tasks consist of solving very few inner ... multiple righthand sides and one reduced eigenvalue problem orders of magnitude smaller than ... augment numerical performances and capabilities in largescale modern applications...

LSTRS
 Referenced in 34 articles
[sw04729]
 requires the solution of a largescale eigenvalue problem at each step. LSTRS relies ... features that make it suitable for largescale computations. In the MATLAB implementation, the Hessian...

ABLE
 Referenced in 33 articles
[sw12726]
 adaptive block Lanczos method for largescale nonHermitian Eigenvalue problems (henceforth the ABLE method ... order of multiple or clustered eigenvalues. Second, stopping criteria are developed that exploit the semiquadratic ... biorthogonality and maintain semibiorthogonality among the computed Lanczos vectors. Each innovation is theoretically justified. Academic...

SISLICE
 Referenced in 1 article
[sw42180]
 central importance of largescale eigenvalue problems in scientific computation necessitates the development of massively...

kep
 Referenced in 5 articles
[sw34700]
 Fortran codes for computing the kth eigenpair of generalized symmetric definite eigenproblems. Reference ... Solution of the kth eigenvalue problem in largescale electronic structure calculations...

nonlinear_pseudoabscissa
 Referenced in 3 articles
[sw28497]
 Large Scale Nonlinear Eigenvalue Problems: We present an algorithm to compute the pseudospectral abscissa ... large negative values works robustly in practice. Second, it is applicable to largescale problems ... subspaces further enhance the efficiency for largescale problems. Finally, in contrast to existing iterative ... constructing lowrank perturbations and rightmost eigenvalue computations, the algorithm relies on computing only singular...

eigentest
 Referenced in 2 articles
[sw30643]
 eigentest  a test matrix generator for largescale eigenproblem. Eigentest is a package that produces ... specify the eigenvalues and has some control over the condition of the eigenvalues and eigenvectors ... representation. Auxiliary programs permit the computation...

EigenKernel
 Referenced in 3 articles
[sw29866]
 with parallel generalized eigenvalue solvers or largescale electronic state calculation to attain high scalability ... optimal solver, among the three parallel eigenvalue libraries of ScaLAPACK, ELPA, EigenExa and hybrid solvers ... ScaLAPACK solvers. The benchmark on the K computer is also used for discussion. In addition...

symPACK
 Referenced in 1 article
[sw16317]
 needed in shiftinvert Lanczos to compute interior eigenvalues. The performance and resource usage ... When the factorization is performed on largescale distributed memory platforms, communication cost is critical ... performance variability. This makes scheduling of computations an intricate and performancecritical task. In this...

FemaxxNano
 Referenced in 1 article
[sw16819]
 largescale nonlinear eigensolver for the analysis of dispersive nanostructures. We introduce the electromagnetic eigenmodal ... eventually obtain a nonlinear eigenvalue problem. We discretize the electromagnetic eigenvalue problem with the finite ... optical antenna, on distributedmemory parallel computers...

StabilityStabilizationPTDS
 Referenced in 1 article
[sw38318]
 method, considering the finitedimensional nonlinear eigenvalue problem. The derivate of the Floquet multiplier with ... system parameter can also be computed. The derivative computation is used in the stabilization method ... stability and stabilization of largescale periodic timedelay systems. These largescale routines solve...

FAME
 Referenced in 1 article
[sw41128]
 free standard eigenvalue problem with a Hermitian positivedefinite coefficient matrix. The computation times ... respectively. Such multiplications significantly reduce the computational costs of the conjugate gradient method for solving ... proposed package to enable largescale numerical simulations for novel physical discoveries and engineering applications...

PHIST
 Referenced in 1 article
[sw41715]
 hardware and software environments in highperformance computing poses big challenges on the development ... solvers for sparse linear systems and eigenvalue problems. It is a productivity platform for performance ... core CPU, a GPU, and a largescale manycore system. Furthermore, we show...

ADOLC
 Referenced in 257 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

ANSYS
 Referenced in 713 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...