• ARPACK

  • Referenced in 848 articles [sw04218]
  • solving large scale symmetric, nonsymmetric, and generalized eigenproblems from significant application areas. The software...
  • ScaLAPACK

  • Referenced in 421 articles [sw00830]
  • reduction of a symmetric-definite/Hermitian-definite generalized eigenproblem to standard form, the symmetric/Hermitian, generalized symmetric/Hermitian ... nonsymmetric eigenproblem. Prototype codes are provided for out-of-core solvers for LU, Cholesky ... matrix sign function for eigenproblems, and an HPF interface to a subset of ScaLAPACK routines...
  • SLEPc

  • Referenced in 200 articles [sw00875]
  • library for the solution of large sparse eigenproblems on parallel computers. It can be used...
  • PRIMME

  • Referenced in 51 articles [sw04023]
  • enabled applications requiring the solution of symmetric eigenproblems to push their accuracy and thus computational...
  • JDCG

  • Referenced in 41 articles [sw12540]
  • version is also provided that handle generalized eigenproblems. It implements the Jacobi-Davidson method with...
  • Modulef

  • Referenced in 39 articles [sw01072]
  • direct or iterative methods. Solution methods for eigenproblems include inverse iteration, subspace iteration, Lanczos...
  • LAMG

  • Referenced in 34 articles [sw06551]
  • average. Our methodology is extensible to eigenproblems and other graph computations...
  • BLOPEX

  • Referenced in 27 articles [sw04024]
  • several extreme eigenpairs of symmetric positive generalized eigenproblems; a user-defined symmetric positive preconditioner; robustness...
  • Algorithm 840

  • Referenced in 27 articles [sw04463]
  • coefficients are the eigenfunctions of the matrix eigenproblem. The grid points and weights are found...
  • TenEig

  • Referenced in 25 articles [sw14671]
  • homotopy continuation type algorithms to solve tensor eigenproblems. With proper implementation, these methods can find...
  • irbleigs

  • Referenced in 19 articles [sw00451]
  • applied to certain large generalized eigenproblems as well as to the computation...
  • UDC

  • Referenced in 19 articles [sw20233]
  • divide and conquer algorithm for the unitary eigenproblem. We present a FORTRAN implementation...
  • TTPY

  • Referenced in 7 articles [sw18073]
  • interpolation, solve linear systems, eigenproblems, solve dynamical problems. Several computational routines are done in Fortran...
  • EleMRRR

  • Referenced in 3 articles [sw07036]
  • High-performance solvers for dense Hermitian eigenproblems We introduce a new collection of solvers -- subsequently ... called EleMRRR -- for large-scale dense Hermitian eigenproblems. EleMRRR solves various types of problems: generalized ... standard, and tridiagonal eigenproblems. Among these, the last is of particular importance...
  • PMRRR

  • Referenced in 3 articles [sw07048]
  • High-performance solvers for dense Hermitian eigenproblems We introduce a new collection of solvers -- subsequently ... called EleMRRR -- for large-scale dense Hermitian eigenproblems. EleMRRR solves various types of problems: generalized ... standard, and tridiagonal eigenproblems. Among these, the last is of particular importance...
  • NUMATH

  • Referenced in 5 articles [sw00639]
  • linear equations, linear last square problems, eigenproblems; approximation, interpolation and numerical differentiation of functions, based...
  • na18

  • Referenced in 5 articles [sw11506]
  • method with deflation for solving large sparse eigenproblems. E. R. Davidson’s method [J. Comput...
  • MERAM

  • Referenced in 5 articles [sw12819]
  • explicitly restarted Arnoldi method for solving large eigenproblems. We propose a new approach for calculating...
  • Algorithm 730

  • Referenced in 5 articles [sw14348]
  • divide and conquer algorithm for the unitary eigenproblem. We present a FORTRAN implementation...
  • sg_min

  • Referenced in 5 articles [sw24281]
  • sample applications for nearest degenerate eigenproblems, least square diagonalization problems, procrustes problems, and electronic structures...