Matrix: Bai/mhd3200a

Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS

Bai/mhd3200a graph Bai/mhd3200a graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/mhd3200a dmperm of Bai/mhd3200a
scc of Bai/mhd3200a

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 434 KB. Use UFget(1622) or UFget('Bai/mhd3200a') in MATLAB.
  • download in Matrix Market format, file size: 571 KB.
  • download in Rutherford/Boeing format, file size: 462 KB.

    Matrix properties
    number of rows3,200
    number of columns3,200
    nonzeros68,026
    structural full rank?yes
    structural rank3,200
    # 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 AMD61,066
    Cholesky flop count1.2e+06
    nnz(L+U), no partial pivoting, with AMD118,932
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD123,175
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD221,646

    SVD-based statistics:
    norm(A)160740
    min(svd(A))9.53863e-27
    cond(A)1.68515e+31
    rank(A)2,244
    sprank(A)-rank(A)956
    null space dimension956
    full numerical rank?no
    singular value gap1.01617

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

    Bai/mhd3200a 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.