• ARPACK

  • Referenced in 841 articles [sw04218]
  • package is designed to compute a few eigenvalues and corresponding eigenvectors of a general ... software is designed to compute a few (k) eigenvalues with user specified features such ... space is computed which is numerically orthogonal to working precision. Numerically accurate eigenvectors are available...
  • EISPACK

  • Referenced in 488 articles [sw04208]
  • collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices...
  • eigs

  • Referenced in 323 articles [sw03702]
  • eigs: Largest eigenvalues and eigenvectors of matrix The author describes and analyses a new implementation ... Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general ... method are discussed and some preliminary computational results using parallel and vector computers are given...
  • JDQZ

  • Referenced in 600 articles [sw07031]
  • computing a few selected eigenvalues with some desirable property together with the associated eigenvectors ... Jacobi-Davidson method is used to compute a partial generalized Schur decomposition of the pair...
  • JDQR

  • Referenced in 504 articles [sw04021]
  • computing a few selected eigenvalues with some desirable property together with the associated eigenvectors ... Jacobi-Davidson method is used to compute a partial Schur decomposition of A. The decomposition...
  • NAPACK

  • Referenced in 71 articles [sw11666]
  • problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition...
  • IRAM

  • Referenced in 203 articles [sw08795]
  • Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors of a large general ... method are discussed and some preliminary computational results using parallel and vector computers are given...
  • EIGIFP

  • Referenced in 46 articles [sw00235]
  • MATLAB program for computing a few extreme eigenvalues and eigenvectors of the large symmetric generalized...
  • quadeig

  • Referenced in 33 articles [sw11532]
  • computation of all the eigenvalues and optionally the right and left eigenvectors of dense quadratic ... problem parameters prior to the computation of eigenvalues, a choice of linearization with favorable conditioning...
  • JDCG

  • Referenced in 41 articles [sw12540]
  • computation of a few of the smallest eigenvalues and associated eigenvectors of a (large sparse...
  • JADAMILU

  • Referenced in 18 articles [sw01424]
  • software code for computing selected eigenvalues and associated eigenvectors of a real symmetric matrix ... needed for incomplete LU preconditioning are automatically computed and may be updated at run time...
  • irbleigs

  • Referenced in 19 articles [sw00451]
  • MATLAB program for computing a few eigenvalues and associated eigenvectors of a sparse Hermitian matrix ... possible to compute approximations of a few of the largest eigenvalues...
  • Ninf-G/MPI

  • Referenced in 45 articles [sw03461]
  • computing environment. A moment-based method that finds several eigenvalues and their corresponding eigenvectors...
  • FEAST

  • Referenced in 90 articles [sw04025]
  • eigenvalue problem, and obtaining all the eigenvalues and eigenvectors within a given search interval ... 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...
  • Algorithm 710

  • Referenced in 4 articles [sw13030]
  • Algorithm 710: FORTRAN subroutines for computing the eigenvalues and eigenvectors of a general matrix ... nonsymmetric matrix to tridiagonal form, to compute the eigenvalues of the tridiagonal matrix, to improve ... accuracy of an eigenvalue, and to compute the corresponding eigenvector. The intended purpose...
  • TenEig

  • Referenced in 24 articles [sw14671]
  • Computing tensor eigenvalues via homotopy methods. We introduce the concept of mode-k generalized eigenvalues ... eigenvectors of a tensor and prove some properties of such eigenpairs. In particular, we derive ... this bound and the structures of tensor eigenvalue problems, we propose two homotopy continuation type ... effectiveness and efficiency of TenEig for computing complex or real generalized eigenpairs...
  • ASYMPT

  • Referenced in 10 articles [sw00053]
  • body-fixed frame and can be easily computed for high values of total orbital momentum ... obtained as the eigenvalues of the corresponding secular equation. The eigenvectors computed are used...
  • zPARES

  • Referenced in 4 articles [sw17466]
  • Pares is designed to compute a few eigenvalues and eigenvectors of sparse matrices. The symmetries ... Pares computes eigenvalues inside a user-specified contour path and corresponding eigenvectors. The most important...
  • Algorithm 517

  • Referenced in 3 articles [sw23784]
  • Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors...
  • UDC

  • Referenced in 19 articles [sw20233]
  • programs utilize the Schur parametrization to compute the spectral decomposition of H without explicitly forming ... only the eigenvalues and first components of the eigenvectors are desired, as in the applications...