Oberwolfach/boneS01 graph

Matrix: Oberwolfach/boneS01

Description: Oberwolfach: 3D trabecular bone


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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 13 MB. Use UFget(1454) or UFget('Oberwolfach/boneS01') in MATLAB.
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    Oberwolfach/boneS01

    Matrix properties
    number of rows127,224
    number of columns127,224
    nonzeros5,516,602
    structural full rank?yes
    structural rank127,224
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries1,198,550
    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 127224-by-127224
    Bsparse 127224-by-1
    Csparse 3-by-127224
    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'))59,350,868 39,326,988
    Cholesky flop count1.3e+11 4.4e+10
    nnz(L+U), no partial pivoting118,574,512 78,526,752
    nnz(V) for QR, upper bound nnz(L) for LU129,340,795 89,762,505
    nnz(R) for QR, upper bound nnz(U) for LU255,285,585 183,321,279

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1198550 explicit zero entries.

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.