Matrix: HB/sherman5

Description: U FULLY IMPLICIT BLACK OIL SIMULATOR 16 BY 23 BY 3 GRID, THREE UNK

HB/sherman5 graph HB/sherman5 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/sherman5 dmperm of HB/sherman5

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  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 169 KB. Use UFget(246) or UFget('HB/sherman5') in MATLAB.
  • download in Matrix Market format, file size: 164 KB.
  • download in Rutherford/Boeing format, file size: 143 KB.

    Matrix properties
    number of rows3,312
    number of columns3,312
    nonzeros20,793
    structural full rank?yes
    structural rank3,312
    # of blocks from dmperm1,675
    # strongly connected comp.1,675
    explicit zero entries0
    nonzero pattern symmetry 74%
    numeric value symmetry 15%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Sherman
    editorI. Duff, R. Grimes, J. Lewis
    date1984
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 3312-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD78,567
    Cholesky flop count6.1e+06
    nnz(L+U), no partial pivoting, with AMD153,822
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD94,649
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD189,297

    SVD-based statistics:
    norm(A)4547.51
    min(svd(A))0.0241965
    cond(A)187941
    rank(A)3,312
    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/sherman5 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.