Matrix: Oberwolfach/inlet

Description: Oberwolfach: supersonic engine inlet

Oberwolfach/inlet graph Oberwolfach/inlet graph
(bipartite graph drawing) (graph drawing of A+A')

Oberwolfach/inlet dmperm of Oberwolfach/inlet

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1436) or UFget('Oberwolfach/inlet') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows11,730
    number of columns11,730
    structural full rank?yes
    structural rank11,730
    # of blocks from dmperm331
    # strongly connected comp.331
    explicit zero entries0
    nonzero pattern symmetry 61%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorK. Willcox, G. Lassaux, D. Gratton
    editorE. Rudnyi
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 11730-by-11730
    Bsparse 11730-by-2
    Csparse 1-by-11730


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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,040,340
    Cholesky flop count1.2e+08
    nnz(L+U), no partial pivoting, with AMD2,068,950
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,059,692
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,393,718

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Oberwolfach/inlet svd

    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.