Matrix: Brethour/coater2

Description: Tail end of a converging slot coater. J. Brethour, CEMS, U. Minn

Brethour/coater2 graph Brethour/coater2 graph
(bipartite graph drawing) (graph drawing of A+A')


Brethour/coater2 dmperm of Brethour/coater2
scc of Brethour/coater2

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Brethour
  • Click here for a description of the Brethour 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: 2 MB. Use UFget(376) or UFget('Brethour/coater2') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows9,540
    number of columns9,540
    nonzeros207,308
    structural full rank?no
    structural rank9,434
    # of blocks from dmperm207
    # strongly connected comp.382
    explicit zero entries0
    nonzero pattern symmetry 59%
    numeric value symmetry 13%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Brethour
    editorT. Davis
    date1997
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD689,125
    Cholesky flop count8.2e+07
    nnz(L+U), no partial pivoting, with AMD1,368,710
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,286,324
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,780,057

    SVD-based statistics:
    norm(A)1216.52
    min(svd(A))7.81585e-34
    cond(A)1.55648e+36
    rank(A)9,426
    sprank(A)-rank(A)8
    null space dimension114
    full numerical rank?no
    singular value gap2.31108

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

    Brethour/coater2 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.