Matrix: DRIVCAV/cavity18

Description: Driven Cavity 20 x 20, Reynolds number: 200

DRIVCAV/cavity18 graph DRIVCAV/cavity18 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity18 dmperm of DRIVCAV/cavity18
scc of DRIVCAV/cavity18

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 948 KB. Use UFget(397) or UFget('DRIVCAV/cavity18') in MATLAB.
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    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 entries147
    nonzero pattern symmetry 95%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

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


    next: DRIVCAV/cavity19 first: DRIVCAV/cavity16
    pattern is the same as DRIVCAV/cavity16       

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD173,690
    Cholesky flop count1.1e+07
    nnz(L+U), no partial pivoting, with AMD342,818
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD341,666
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,150,538

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 147 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/cavity18 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.