Matrix: DRIVCAV/cavity01

Description: Driven Cavity 5 x 5, Reynolds number: 0

DRIVCAV/cavity01 graph DRIVCAV/cavity01 graph
(bipartite graph drawing) (graph drawing of A+A')


DRIVCAV/cavity01 dmperm of DRIVCAV/cavity01
scc of DRIVCAV/cavity01

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 28 KB. Use UFget(380) or UFget('DRIVCAV/cavity01') in MATLAB.
  • download in Matrix Market format, file size: 47 KB.
  • download in Rutherford/Boeing format, file size: 37 KB.

    Matrix properties
    number of rows317
    number of columns317
    nonzeros7,280
    structural full rank?yes
    structural rank317
    # of blocks from dmperm82
    # strongly connected comp.82
    explicit zero entries47
    nonzero pattern symmetry 80%
    numeric value symmetry 52%
    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 317-by-1
    xfull 317-by-1

    Notes:

    next: DRIVCAV/cavity02 first: DRIVCAV/cavity01
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD6,119
    Cholesky flop count1.3e+05
    nnz(L+U), no partial pivoting, with AMD11,921
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,839
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD16,035

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 47 explicit zero entries.

    SVD-based statistics:
    norm(A)12.7773
    min(svd(A))0.000369855
    cond(A)34546.9
    rank(A)317
    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/cavity01 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.