Matrix: Brethour/coater1

Description: Lid-driven cavity, coating flow J. Brethour, CEMS, U. Minn

Brethour/coater1 graph Brethour/coater1 graph
(bipartite graph drawing) (graph drawing of A+A')

Brethour/coater1 dmperm of Brethour/coater1
scc of Brethour/coater1

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  • Matrix group: Brethour
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  • download as a MATLAB mat-file, file size: 68 KB. Use UFget(375) or UFget('Brethour/coater1') in MATLAB.
  • download in Matrix Market format, file size: 96 KB.
  • download in Rutherford/Boeing format, file size: 67 KB.

    Matrix properties
    number of rows1,348
    number of columns1,348
    structural full rank?no
    structural rank1,331
    # of blocks from dmperm85
    # strongly connected comp.262
    explicit zero entries0
    nonzero pattern symmetry 59%
    numeric value symmetry 40%
    Cholesky candidate?no
    positive definite?no

    authorJ. Brethour
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD73,686
    Cholesky flop count6.7e+06
    nnz(L+U), no partial pivoting, with AMD146,024
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD103,217
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD263,580

    SVD-based statistics:
    null space dimension18
    full numerical rank?no
    singular value gap65.1711

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Brethour/coater1 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.