• UF Sparse Matrix Collection
  • Matrix group: Oberwolfach
  • Click here for a description of the Oberwolfach group.
  • Click here for a list of all matrices
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  • Matrix: Oberwolfach/LF10000
  • Description: Oberwolfach: linear 1D beam
  • download as a MATLAB mat-file, file size: 354 KB. Use UFget(1437) or UFget('Oberwolfach/LF10000') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Oberwolfach/LF10000

    Oberwolfach/LF10000 graph

    Matrix properties
    number of rows19,998
    number of columns19,998
    nonzeros99,982
    structural full rank?yes
    structural rank19,998
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lienemann, A. Greiner, J. Korvink
    editorE. Rudnyi
    date2004
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Msparse 19998-by-19998
    Esparse 19998-by-19998
    Bsparse 19998-by-1
    Csparse 1-by-19998

    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'))69,988 104,941
    Cholesky flop count2.5e+05 5.5e+05
    nnz(L+U), no partial pivoting119,978 189,884
    nnz(V) for QR, upper bound nnz(L) for LU69,988 119,262
    nnz(R) for QR, upper bound nnz(U) for LU109,976 201,992

    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.