• UF Sparse Matrix Collection
  • Matrix group: Graham
  • Click here for a description of the Graham group.
  • Click here for a list of all matrices
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  • Matrix: Graham/graham1
  • Description: Galerkin FE disc. of Nav.Stokes 2phase fluid flow. D Graham, U Illinois
  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(448) or UFget('Graham/graham1') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Graham/graham1

    dmperm of Graham/graham1

    scc of Graham/graham1

    Graham/graham1 graph

    Matrix properties
    number of rows9,035
    number of columns9,035
    nonzeros335,472
    structural full rank?yes
    structural rank9,035
    # of blocks from dmperm478
    # strongly connected comp.474
    entries not in dmperm blocks25,829
    explicit zero entries32
    nonzero pattern symmetry 72%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Graham
    editorT. Davis
    date1998
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))602,647 667,938 1,243,483
    Cholesky flop count7.0e+07 7.8e+07 2.8e+08
    nnz(L+U), no partial pivoting1,196,259 1,326,841 2,503,760
    nnz(V) for QR, upper bound nnz(L) for LU1,689,616 1,323,598 1,253,486
    nnz(R) for QR, upper bound nnz(U) for LU5,071,066 4,027,878 3,663,202

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 32 explicit zero entries.

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.