Matrix: HB/sherman4

Description: U BLACK OIL, IMPES SIMULATION, 16 BY 23 BY 3 GRID, ONE UNK

HB/sherman4 graph
(undirected graph drawing)


HB/sherman4 dmperm of HB/sherman4

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 36 KB. Use UFget(245) or UFget('HB/sherman4') in MATLAB.
  • download in Matrix Market format, file size: 31 KB.
  • download in Rutherford/Boeing format, file size: 29 KB.

    Matrix properties
    number of rows1,104
    number of columns1,104
    nonzeros3,786
    structural full rank?yes
    structural rank1,104
    # of blocks from dmperm559
    # strongly connected comp.559
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 0%
    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 1104-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,599
    Cholesky flop count1.4e+05
    nnz(L+U), no partial pivoting, with AMD14,094
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,695
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD22,264

    SVD-based statistics:
    norm(A)66.5089
    min(svd(A))0.0305278
    cond(A)2178.63
    rank(A)1,104
    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/sherman4 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.