Matrix: HB/sherman3

Description: U BLACK OIL, IMPES SIMULATION, 35 BY 11 BY 13 GRID, ONE UNK

HB/sherman3 graph
(undirected graph drawing)


HB/sherman3 dmperm of HB/sherman3

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 147 KB. Use UFget(244) or UFget('HB/sherman3') in MATLAB.
  • download in Matrix Market format, file size: 134 KB.
  • download in Rutherford/Boeing format, file size: 123 KB.

    Matrix properties
    number of rows5,005
    number of columns5,005
    nonzeros20,033
    structural full rank?yes
    structural rank5,005
    # of blocks from dmperm2,111
    # strongly connected comp.2,111
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 45%
    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 5005-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD96,048
    Cholesky flop count7.5e+06
    nnz(L+U), no partial pivoting, with AMD187,091
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD190,653
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD340,378

    SVD-based statistics:
    norm(A)6.75844e+06
    min(svd(A))1.34785e-11
    cond(A)5.01425e+17
    rank(A)2,898
    sprank(A)-rank(A)2,107
    null space dimension2,107
    full numerical rank?no
    singular value gap1.03215e+08

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

    HB/sherman3 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.