• Eigtool

  • Referenced in 537 articles [sw07020]
  • EigTool is a free MATLAB package for computing pseudospectra of dense and sparse matrices ... eigs routine (ARPACK) for large-scale eigenvalue computations...
  • Harwell-Boeing 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 large-scale computation. We offer the collection...
  • HSL

  • Referenced in 284 articles [sw00418]
  • packages for large-scale 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]
  • companion-type 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 large-scale 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 right-hand sides and one reduced eigenvalue problem orders of magnitude smaller than ... augment numerical performances and capabilities in large-scale modern applications...
  • LSTRS

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

  • Referenced in 33 articles [sw12726]
  • adaptive block Lanczos method for large-scale non-Hermitian 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 large-scale eigenvalue problems in scientific computation necessitates the development of massively...
  • k-ep

  • Referenced in 5 articles [sw34700]
  • Fortran codes for computing the k-th eigenpair of generalized symmetric definite eigenproblems. Reference ... Solution of the k-th eigenvalue problem in large-scale 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 large-scale problems ... subspaces further enhance the efficiency for large-scale problems. Finally, in contrast to existing iterative ... constructing low-rank perturbations and rightmost eigenvalue computations, the algorithm relies on computing only singular...
  • eigentest

  • Referenced in 2 articles [sw30643]
  • eigentest - a test matrix generator for large-scale 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 large-scale 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 shift-invert Lanczos to compute interior eigenvalues. The performance and resource usage ... When the factorization is performed on large-scale distributed memory platforms, communication cost is critical ... performance variability. This makes scheduling of computations an intricate and performance-critical task. In this...
  • FemaxxNano

  • Referenced in 1 article [sw16819]
  • large-scale 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 distributed-memory parallel computers...
  • StabilityStabilizationPTDS

  • Referenced in 1 article [sw38318]
  • method, considering the finite-dimensional 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 large-scale periodic time-delay systems. These large-scale routines solve...
  • FAME

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

  • Referenced in 1 article [sw41715]
  • hardware and software environments in high-performance 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 large-scale many-core system. Furthermore, we show...
  • ADOL-C

  • Referenced in 257 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ANSYS

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