Matrix: DRIVCAV/cavity15

Description: Driven Cavity 15 x 15, Reynolds number: 1000

DRIVCAV/cavity15 graph DRIVCAV/cavity15 graph
(bipartite graph drawing) (graph drawing of A+A')

DRIVCAV/cavity15 dmperm of DRIVCAV/cavity15
scc of DRIVCAV/cavity15

  • 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: 494 KB. Use UFget(394) or UFget('DRIVCAV/cavity15') in MATLAB.
  • download in Matrix Market format, file size: 738 KB.
  • download in Rutherford/Boeing format, file size: 609 KB.

    Matrix properties
    number of rows2,597
    number of columns2,597
    structural full rank?yes
    structural rank2,597
    # of blocks from dmperm242
    # strongly connected comp.242
    explicit zero entries4,766
    nonzero pattern symmetry 94%
    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 2597-by-1
    xfull 2597-by-1


    next: - first: DRIVCAV/cavity10                         
    pattern is the same as the transpose of DRIVCAV/cavity10

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD74,053
    Cholesky flop count3.5e+06
    nnz(L+U), no partial pivoting, with AMD145,509
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD129,681
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD408,442

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4766 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/cavity15 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.