Matrix: DRIVCAV/cavity10

Description: Driven Cavity 15 x 15, Reynolds number: 0

DRIVCAV/cavity10 graph DRIVCAV/cavity10 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity10 dmperm of DRIVCAV/cavity10
scc of DRIVCAV/cavity10

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 302 KB. Use UFget(389) or UFget('DRIVCAV/cavity10') in MATLAB.
  • download in Matrix Market format, file size: 516 KB.
  • download in Rutherford/Boeing format, file size: 392 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 entries196
    nonzero pattern symmetry 94%
    numeric value symmetry 64%
    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 2597-by-1
    xfull 2597-by-1


    next: DRIVCAV/cavity11 first: 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 COLAMD142,400
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD463,077

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 196 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/cavity10 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.