Matrix: DRIVCAV/cavity03

Description: Driven Cavity 5 x 5, Reynolds number: 400

DRIVCAV/cavity03 graph DRIVCAV/cavity03 graph
(bipartite graph drawing) (graph drawing of A+A')


DRIVCAV/cavity03 dmperm of DRIVCAV/cavity03
scc of DRIVCAV/cavity03

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 50 KB. Use UFget(382) or UFget('DRIVCAV/cavity03') in MATLAB.
  • download in Matrix Market format, file size: 73 KB.
  • download in Rutherford/Boeing format, file size: 63 KB.

    Matrix properties
    number of rows317
    number of columns317
    nonzeros7,311
    structural full rank?yes
    structural rank317
    # of blocks from dmperm82
    # strongly connected comp.82
    explicit zero entries16
    nonzero pattern symmetry 80%
    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 317-by-1
    xfull 317-by-1

    Notes:

    next: DRIVCAV/cavity04 first: DRIVCAV/cavity01
    pattern is the same as DRIVCAV/cavity01       
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD6,120
    Cholesky flop count1.3e+05
    nnz(L+U), no partial pivoting, with AMD11,923
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,413
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD16,042

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 16 explicit zero entries.

    SVD-based statistics:
    norm(A)47.1332
    min(svd(A))8.05781e-05
    cond(A)584938
    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/cavity03 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.