Matrix: Bai/mhd3200b

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS

Bai/mhd3200b graph
(undirected graph drawing)


Bai/mhd3200b dmperm of Bai/mhd3200b

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 80 KB. Use UFget(1623) or UFget('Bai/mhd3200b') in MATLAB.
  • download in Matrix Market format, file size: 92 KB.
  • download in Rutherford/Boeing format, file size: 80 KB.

    Matrix properties
    number of rows3,200
    number of columns3,200
    nonzeros18,316
    structural full rank?yes
    structural rank3,200
    # 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 AMD10,758
    Cholesky flop count4.0e+04
    nnz(L+U), no partial pivoting, with AMD18,316
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD10,758
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD18,672

    SVD-based statistics:
    norm(A)2.19627
    min(svd(A))1.36926e-13
    cond(A)1.60398e+13
    rank(A)3,199
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap41.1467

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

    Bai/mhd3200b 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.