Matrix: DRIVCAV/cavity04

Description: Driven Cavity 5 x 5, Reynolds number: 600

DRIVCAV/cavity04 graph DRIVCAV/cavity04 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity04 dmperm of DRIVCAV/cavity04
scc of DRIVCAV/cavity04

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  • Matrix group: DRIVCAV
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  • download as a MATLAB mat-file, file size: 41 KB. Use UFget(383) or UFget('DRIVCAV/cavity04') in MATLAB.
  • download in Matrix Market format, file size: 63 KB.
  • download in Rutherford/Boeing format, file size: 53 KB.

    Matrix properties
    number of rows317
    number of columns317
    structural full rank?yes
    structural rank317
    # of blocks from dmperm82
    # strongly connected comp.82
    explicit zero entries1,404
    nonzero pattern symmetry 80%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 317-by-1
    xfull 317-by-1


    next: - first: DRIVCAV/cavity01                         
    pattern is the same as the transpose of DRIVCAV/cavity01

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,959
    Cholesky flop count7.1e+04
    nnz(L+U), no partial pivoting, with AMD7,601
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,800
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD15,653

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1404 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/cavity04 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.