Matrix: DRIVCAV/cavity06

Description: Driven Cavity 10 x 10, Reynolds number: 200

DRIVCAV/cavity06 graph DRIVCAV/cavity06 graph
(bipartite graph drawing) (graph drawing of A+A')


DRIVCAV/cavity06 dmperm of DRIVCAV/cavity06
scc of DRIVCAV/cavity06

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 204 KB. Use UFget(385) or UFget('DRIVCAV/cavity06') in MATLAB.
  • download in Matrix Market format, file size: 305 KB.
  • download in Rutherford/Boeing format, file size: 253 KB.

    Matrix properties
    number of rows1,182
    number of columns1,182
    nonzeros29,675
    structural full rank?yes
    structural rank1,182
    # of blocks from dmperm162
    # strongly connected comp.162
    explicit zero entries3,072
    nonzero pattern symmetry 90%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Chapman
    editorA. Baggag, Y. Saad
    date1996
    kindsubsequent computational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 1182-by-1
    xfull 1182-by-1

    Notes:

    next: DRIVCAV/cavity07 first: DRIVCAV/cavity05          
    pattern is the same as the transpose of DRIVCAV/cavity05
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD25,749
    Cholesky flop count8.2e+05
    nnz(L+U), no partial pivoting, with AMD50,316
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD37,679
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD121,612

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3072 explicit zero entries.

    SVD-based statistics:
    norm(A)15.7727
    min(svd(A))2.34385e-05
    cond(A)672940
    rank(A)1,182
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    DRIVCAV/cavity06 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.