Matrix: POLYFLOW/mixtank_new

Description: POLYFLOW mixing tank (new version to avoid underflow)

POLYFLOW/mixtank_new graph
(undirected graph drawing)


  • Home page of the UF Sparse Matrix Collection
  • Matrix group: POLYFLOW
  • Click here for a description of the POLYFLOW group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 17 MB. Use UFget(1643) or UFget('POLYFLOW/mixtank_new') in MATLAB.
  • download in Matrix Market format, file size: 16 MB.
  • download in Rutherford/Boeing format, file size: 13 MB.

    Matrix properties
    number of rows29,957
    number of columns29,957
    structural full rank?yes
    structural rank29,957
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries4,122
    nonzero pattern symmetrysymmetric
    numeric value symmetry 99%
    Cholesky candidate?no
    positive definite?no

    authorJ. Marchal
    editorJ. Koster
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 29957-by-1


    from Parasol,

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD19,046,921
    Cholesky flop count3.2e+10
    nnz(L+U), no partial pivoting, with AMD38,063,885
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD35,545,934
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD81,117,995

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4122 explicit zero entries.

    SVD-based statistics:
    null space dimension1
    full numerical rank?no
    singular value gap1.36079

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

    POLYFLOW/mixtank_new 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.