Matrix: HB/steam3

Description: UNSYMMETRIC - 1D STEAM MODEL OF OIL RES. - 20 POINTS - 4 DOF MAY 1983

HB/steam3 graph
(undirected graph drawing)


HB/steam3 dmperm of HB/steam3

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(253) or UFget('HB/steam3') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows80
    number of columns80
    nonzeros314
    structural full rank?yes
    structural rank80
    # of blocks from dmperm21
    # strongly connected comp.21
    explicit zero entries614
    nonzero pattern symmetrysymmetric
    numeric value symmetry 32%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Grimes
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD236
    Cholesky flop count7.4e+02
    nnz(L+U), no partial pivoting, with AMD392
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD203
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD424

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 614 explicit zero entries.

    SVD-based statistics:
    norm(A)1.73857e+10
    min(svd(A))0.348153
    cond(A)4.99369e+10
    rank(A)80
    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

    HB/steam3 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.