Oberwolfach/rail_79841 graph

Matrix: Oberwolfach/rail_79841

Description: Oberwolfach: heat transfer, steel profile cooling


  • UF Sparse Matrix Collection
  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1445) or UFget('Oberwolfach/rail_79841') in MATLAB.
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    Oberwolfach/rail_79841

    Matrix properties
    number of rows79,841
    number of columns79,841
    nonzeros553,921
    structural full rank?yes
    structural rank79,841
    # 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?no
    positive definite?no

    authorP. Benner, J. Saak
    editorE. Rudnyi
    date2002
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 79841-by-79841
    Bsparse 79841-by-7
    Csparse 6-by-79841

    Notes:

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

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))1,733,147 1,650,417
    Cholesky flop count1.4e+08 1.1e+08
    nnz(L+U), no partial pivoting3,386,453 3,220,993
    nnz(V) for QR, upper bound nnz(L) for LU4,639,030 4,078,059
    nnz(R) for QR, upper bound nnz(U) for LU10,074,013 8,800,326

    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.