
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 symmetricdefinite/Hermitiandefinite generalized eigenproblem to standard form, the symmetric/Hermitian, generalized symmetric/Hermitian ... nonsymmetric eigenproblem. Prototype codes are provided for outofcore 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 JacobiDavidson 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 userdefined 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]
 Highperformance solvers for dense Hermitian eigenproblems We introduce a new collection of solvers  subsequently ... called EleMRRR  for largescale 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]
 Highperformance solvers for dense Hermitian eigenproblems We introduce a new collection of solvers  subsequently ... called EleMRRR  for largescale 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...