Oberwolfach/filter3D graph

Matrix: Oberwolfach/filter3D

Description: Oberwolfach: tunable optical filter


  • UF Sparse Matrix Collection
  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 42 MB. Use UFget(1431) or UFget('Oberwolfach/filter3D') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Oberwolfach/filter3D

    Matrix properties
    number of rows106,437
    number of columns106,437
    nonzeros2,707,179
    structural full rank?yes
    structural rank106,437
    # 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 106437-by-106437
    Bsparse 106437-by-1
    Csparse 5-by-106437
    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'))29,046,310 18,948,515
    Cholesky flop count2.1e+10 7.7e+09
    nnz(L+U), no partial pivoting57,986,183 37,790,593
    nnz(V) for QR, upper bound nnz(L) for LU49,435,304 39,785,337
    nnz(R) for QR, upper bound nnz(U) for LU132,404,717 104,116,682

    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.