• 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/rail_5177
  • Description: Oberwolfach: heat transfer, steel profile cooling
  • download as a MATLAB mat-file, file size: 301 KB. Use UFget(1444) or UFget('Oberwolfach/rail_5177') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Oberwolfach/rail_5177

    Oberwolfach/rail_5177 graph

    Matrix properties
    number of rows5,177
    number of columns5,177
    nonzeros35,185
    structural full rank?yes
    structural rank5,177
    # 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 5177-by-5177
    Bsparse 5177-by-7
    Csparse 6-by-5177

    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'))61,746 70,363
    Cholesky flop count1.4e+06 1.9e+06
    nnz(L+U), no partial pivoting118,315 135,549
    nnz(V) for QR, upper bound nnz(L) for LU128,813 145,046
    nnz(R) for QR, upper bound nnz(U) for LU276,474 303,021

    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.