Matrix: Bai/mhd4800b

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS

Bai/mhd4800b graph
(undirected graph drawing)


Bai/mhd4800b dmperm of Bai/mhd4800b

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 120 KB. Use UFget(1625) or UFget('Bai/mhd4800b') in MATLAB.
  • download in Matrix Market format, file size: 138 KB.
  • download in Rutherford/Boeing format, file size: 119 KB.

    Matrix properties
    number of rows4,800
    number of columns4,800
    nonzeros27,520
    structural full rank?yes
    structural rank4,800
    # of blocks from dmperm14
    # strongly connected comp.14
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    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 AMD16,160
    Cholesky flop count6.0e+04
    nnz(L+U), no partial pivoting, with AMD27,520
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD16,160
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD28,076

    SVD-based statistics:
    norm(A)2.19627
    min(svd(A))2.68988e-14
    cond(A)8.16492e+13
    rank(A)4,798
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap2.2693

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

    Bai/mhd4800b 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.