Matrix: DRIVCAV/cavity12

Description: Driven Cavity 15 x 15, Reynolds number: 400

DRIVCAV/cavity12 graph DRIVCAV/cavity12 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity12 dmperm of DRIVCAV/cavity12
scc of DRIVCAV/cavity12

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 523 KB. Use UFget(391) or UFget('DRIVCAV/cavity12') in MATLAB.
  • download in Matrix Market format, file size: 768 KB.
  • download in Rutherford/Boeing format, file size: 638 KB.

    Matrix properties
    number of rows2,597
    number of columns2,597
    structural full rank?yes
    structural rank2,597
    # of blocks from dmperm242
    # strongly connected comp.242
    explicit zero entries109
    nonzero pattern symmetry 94%
    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 2597-by-1
    xfull 2597-by-1


    next: DRIVCAV/cavity13 first: DRIVCAV/cavity10
    pattern is the same as DRIVCAV/cavity10       

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD90,335
    Cholesky flop count4.9e+06
    nnz(L+U), no partial pivoting, with AMD178,073
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD143,332
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD463,082

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 109 explicit zero entries.

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

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

    DRIVCAV/cavity12 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.