Matrix: DRIVCAV/cavity16

Description: Driven Cavity 20 x 20, Reynolds number: 0

DRIVCAV/cavity16 graph DRIVCAV/cavity16 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity16 dmperm of DRIVCAV/cavity16
scc of DRIVCAV/cavity16

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  • download as a MATLAB mat-file, file size: 552 KB. Use UFget(395) or UFget('DRIVCAV/cavity16') in MATLAB.
  • download in Matrix Market format, file size: 960 KB.
  • download in Rutherford/Boeing format, file size: 736 KB.

    Matrix properties
    number of rows4,562
    number of columns4,562
    structural full rank?yes
    structural rank4,562
    # of blocks from dmperm322
    # strongly connected comp.322
    explicit zero entries300
    nonzero pattern symmetry 95%
    numeric value symmetry 65%
    Cholesky candidate?no
    positive definite?no

    authorA. Chapman
    editorA. Baggag, Y. Saad
    kindcomputational fluid dynamics problem sequence
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 4562-by-1
    xfull 4562-by-1


    next: DRIVCAV/cavity17 first: DRIVCAV/cavity16

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD173,688
    Cholesky flop count1.1e+07
    nnz(L+U), no partial pivoting, with AMD342,814
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD354,854
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,207,469

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 300 explicit zero entries.

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    DRIVCAV/cavity16 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.