Matrix: Bai/mhd1280b

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMIC

Bai/mhd1280b graph
(undirected graph drawing)


Bai/mhd1280b dmperm of Bai/mhd1280b

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Bai
  • Click here for a description of the Bai group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 117 KB. Use UFget(1621) or UFget('Bai/mhd1280b') in MATLAB.
  • download in Matrix Market format, file size: 93 KB.
  • download in Rutherford/Boeing format, file size: 78 KB.

    Matrix properties
    number of rows1,280
    number of columns1,280
    nonzeros22,778
    structural full rank?yes
    structural rank1,280
    # of blocks from dmperm20
    # strongly connected comp.20
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typecomplex
    structureHermitian
    Cholesky candidate?yes
    positive definite?yes

    authorA. Booten, M. Kooper, H. van der Vorst, S. Poedts, J. Goedbloed
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1994
    kindelectromagnetics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,029
    Cholesky flop count1.5e+05
    nnz(L+U), no partial pivoting, with AMD22,778
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,029
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,413

    SVD-based statistics:
    norm(A)70.322
    min(svd(A))1.48059e-11
    cond(A)4.74959e+12
    rank(A)1,278
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap41.146

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Bai/mhd1280b svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.