Matrix: Bai/mhdb416

Description: MAGNETO-HYDRO-DYNAMICS ALFVEN SPECTRAL PROBLEM

Bai/mhdb416 graph
(undirected graph drawing)


Bai/mhdb416 dmperm of Bai/mhdb416

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 11 KB. Use UFget(315) or UFget('Bai/mhdb416') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 8 KB.

    Matrix properties
    number of rows416
    number of columns416
    nonzeros2,312
    structural full rank?yes
    structural rank416
    # 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 AMD1,364
    Cholesky flop count5.0e+03
    nnz(L+U), no partial pivoting, with AMD2,312
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,364
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,320

    SVD-based statistics:
    norm(A)2.19628
    min(svd(A))5.49864e-10
    cond(A)3.99422e+09
    rank(A)416
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Bai/mhdb416 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.