Matrix: HB/sherman2

Description: U THERMAL SIMULATION, STEAM INJECTION, 6 BY 6 BY 5 GRID, FIVE UNK

HB/sherman2 graph HB/sherman2 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/sherman2 dmperm of HB/sherman2

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 177 KB. Use UFget(243) or UFget('HB/sherman2') in MATLAB.
  • download in Matrix Market format, file size: 176 KB.
  • download in Rutherford/Boeing format, file size: 140 KB.

    Matrix properties
    number of rows1,080
    number of columns1,080
    nonzeros23,094
    structural full rank?yes
    structural rank1,080
    # of blocks from dmperm211
    # strongly connected comp.211
    explicit zero entries0
    nonzero pattern symmetry 67%
    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 1080-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD95,476
    Cholesky flop count1.4e+07
    nnz(L+U), no partial pivoting, with AMD189,872
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD108,809
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD211,719

    SVD-based statistics:
    norm(A)2.43842e+09
    min(svd(A))0.00252861
    cond(A)9.64333e+11
    rank(A)1,080
    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/sherman2 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.