Matrix: Bai/mhd4800a

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS

Bai/mhd4800a graph Bai/mhd4800a graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/mhd4800a dmperm of Bai/mhd4800a
scc of Bai/mhd4800a

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 652 KB. Use UFget(1624) or UFget('Bai/mhd4800a') in MATLAB.
  • download in Matrix Market format, file size: 860 KB.
  • download in Rutherford/Boeing format, file size: 693 KB.

    Matrix properties
    number of rows4,800
    number of columns4,800
    nonzeros102,252
    structural full rank?yes
    structural rank4,800
    # of blocks from dmperm8
    # strongly connected comp.8
    explicit zero entries0
    nonzero pattern symmetry 77%
    numeric value symmetry 27%
    typereal
    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 AMD91,765
    Cholesky flop count1.8e+06
    nnz(L+U), no partial pivoting, with AMD178,730
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD188,859
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD344,832

    SVD-based statistics:
    norm(A)362870
    min(svd(A))9.3246e-28
    cond(A)3.89153e+32
    rank(A)3,302
    sprank(A)-rank(A)1,498
    null space dimension1,498
    full numerical rank?no
    singular value gap3.13167

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

    Bai/mhd4800a 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.