Matrix: Oberwolfach/filter3D

Description: Oberwolfach: tunable optical filter

Oberwolfach/filter3D graph
(undirected graph drawing)


Oberwolfach/filter3D

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  • 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, file size: 35 MB.
  • download in Rutherford/Boeing format, file size: 31 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD29,046,310
    Cholesky flop count2.1e+10
    nnz(L+U), no partial pivoting, with AMD57,986,183
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD49,435,304
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD132,404,717

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.