• UF Sparse Matrix Collection
  • Matrix group: Oberwolfach
  • Click here for a description of the Oberwolfach group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Oberwolfach/boneS10
  • Description: Oberwolfach: 3D trabecular bone
  • download as a MATLAB mat-file, file size: 104 MB. Use UFget(1455) or UFget('Oberwolfach/boneS10') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Oberwolfach/boneS10

    Oberwolfach/boneS10 graph

    Matrix properties
    number of rows914,898
    number of columns914,898
    nonzeros40,878,708
    structural full rank?yes
    structural rank914,898
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries14,589,714
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorB. van Rietbergen, E. Rudnyi, J. Korvink
    editorE. Rudnyi
    date2006
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Msparse 914898-by-914898
    Bsparse 914898-by-1
    Csparse 3-by-914898
    cnamefull 3-by-8

    Notes:

    Primary matrix in this model reduction problem is the Oberwolfach K matrix
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))408,655,022 -
    Cholesky flop count7.7e+11 -
    nnz(L+U), no partial pivoting816,395,146 -
    nnz(V) for QR, upper bound nnz(L) for LU658,325,909 -
    nnz(R) for QR, upper bound nnz(U) for LU1,313,362,527 -

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 14589714 explicit zero entries.

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.