Matrix: Bai/mhda416

Description: MAGNETO-HYDRO-DYNAMICS ALFVEN SPECTRAL PROBLEM

Bai/mhda416 graph Bai/mhda416 graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/mhda416 dmperm of Bai/mhda416
scc of Bai/mhda416

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 55 KB. Use UFget(314) or UFget('Bai/mhda416') in MATLAB.
  • download in Matrix Market format, file size: 59 KB.
  • download in Rutherford/Boeing format, file size: 47 KB.

    Matrix properties
    number of rows416
    number of columns416
    nonzeros8,562
    structural full rank?yes
    structural rank416
    # 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 AMD7,647
    Cholesky flop count1.5e+05
    nnz(L+U), no partial pivoting, with AMD14,878
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD14,481
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD24,034

    SVD-based statistics:
    norm(A)2542.59
    min(svd(A))1.50626e-21
    cond(A)1.68802e+24
    rank(A)322
    sprank(A)-rank(A)94
    null space dimension94
    full numerical rank?no
    singular value gap1.09239

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

    Bai/mhda416 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.