Matrix: DRIVCAV/cavity05

Description: Driven Cavity 10 x 10, Reynolds number: 0

DRIVCAV/cavity05 graph DRIVCAV/cavity05 graph
(bipartite graph drawing) (graph drawing of A+A')


DRIVCAV/cavity05 dmperm of DRIVCAV/cavity05
scc of DRIVCAV/cavity05

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 127 KB. Use UFget(384) or UFget('DRIVCAV/cavity05') in MATLAB.
  • download in Matrix Market format, file size: 216 KB.
  • download in Rutherford/Boeing format, file size: 166 KB.

    Matrix properties
    number of rows1,182
    number of columns1,182
    nonzeros32,632
    structural full rank?yes
    structural rank1,182
    # of blocks from dmperm162
    # strongly connected comp.162
    explicit zero entries115
    nonzero pattern symmetry 90%
    numeric value symmetry 61%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

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

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

    Notes:

    next: DRIVCAV/cavity06 first: DRIVCAV/cavity05
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD32,530
    Cholesky flop count1.2e+06
    nnz(L+U), no partial pivoting, with AMD63,878
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD49,007
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD140,963

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 115 explicit zero entries.

    SVD-based statistics:
    norm(A)13.0072
    min(svd(A))2.25403e-05
    cond(A)577065
    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/cavity05 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.