• 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/filter2D
  • Description: Oberwolfach: tunable optical filter
  • download as a MATLAB mat-file, file size: 92 KB. Use UFget(1430) or UFget('Oberwolfach/filter2D') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Oberwolfach/filter2D

    Oberwolfach/filter2D graph

    Matrix properties
    number of rows1,668
    number of columns1,668
    nonzeros10,750
    structural full rank?yes
    structural rank1,668
    # 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

    authorD. Hohlfield, T. Bechtold, H. Zappe
    editorE. Rudnyi
    date2006
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 1668-by-1668
    Bsparse 1668-by-1
    Csparse 5-by-1668
    cnamefull 5-by-5

    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'))22,483 24,570
    Cholesky flop count5.8e+05 6.4e+05
    nnz(L+U), no partial pivoting43,298 47,472
    nnz(V) for QR, upper bound nnz(L) for LU35,461 36,907
    nnz(R) for QR, upper bound nnz(U) for LU65,784 68,586

    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.