Matrix: DRIVCAV/cavity09

Description: Driven Cavity 10 x 10, Reynolds number: 800

DRIVCAV/cavity09 graph DRIVCAV/cavity09 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity09 dmperm of DRIVCAV/cavity09
scc of DRIVCAV/cavity09

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: DRIVCAV
  • Click here for a description of the DRIVCAV group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 226 KB. Use UFget(388) or UFget('DRIVCAV/cavity09') in MATLAB.
  • download in Matrix Market format, file size: 330 KB.
  • download in Rutherford/Boeing format, file size: 278 KB.

    Matrix properties
    number of rows1,182
    number of columns1,182
    structural full rank?yes
    structural rank1,182
    # of blocks from dmperm162
    # strongly connected comp.162
    explicit zero entries45
    nonzero pattern symmetry 90%
    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 1182-by-1
    xfull 1182-by-1


    next: - first: DRIVCAV/cavity05        
    pattern is the same as DRIVCAV/cavity05

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD33,060
    Cholesky flop count1.2e+06
    nnz(L+U), no partial pivoting, with AMD64,938
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD42,951
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD124,143

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 45 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/cavity09 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.