Matrix: Bai/mhd1280a

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMIC

Bai/mhd1280a graph Bai/mhd1280a graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/mhd1280a dmperm of Bai/mhd1280a
scc of Bai/mhd1280a

  • 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: 448 KB. Use UFget(1620) or UFget('Bai/mhd1280a') in MATLAB.
  • download in Matrix Market format, file size: 464 KB.
  • download in Rutherford/Boeing format, file size: 390 KB.

    Matrix properties
    number of rows1,280
    number of columns1,280
    nonzeros47,906
    structural full rank?yes
    structural rank1,280
    # of blocks from dmperm15
    # strongly connected comp.15
    explicit zero entries0
    nonzero pattern symmetry 90%
    numeric value symmetry 31%
    typecomplex
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    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 AMD38,984
    Cholesky flop count1.3e+06
    nnz(L+U), no partial pivoting, with AMD76,688
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD160,961
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD308,785

    SVD-based statistics:
    norm(A)79441.7
    min(svd(A))1.94436e-20
    cond(A)4.08576e+24
    rank(A)963
    sprank(A)-rank(A)317
    null space dimension317
    full numerical rank?no
    singular value gap18.1105

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

    Bai/mhd1280a 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.