Matrix: Oberwolfach/flowmeter5

Description: Oberwolfach: convective thermal flow

Oberwolfach/flowmeter5 graph
(undirected graph drawing)


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  • download as a MATLAB mat-file, file size: 510 KB. Use UFget(1433) or UFget('Oberwolfach/flowmeter5') in MATLAB.
  • download in Matrix Market format, file size: 753 KB.
  • download in Rutherford/Boeing format, file size: 670 KB.

    Matrix properties
    number of rows9,669
    number of columns9,669
    structural full rank?yes
    structural rank9,669
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 6%
    Cholesky candidate?no
    positive definite?no

    authorC. Moosmann, A. Griener
    editorE. Rudnyi
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 9669-by-9669
    Bsparse 9669-by-1
    Csparse 5-by-9669
    cnamefull 5-by-6


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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD295,256
    Cholesky flop count2.0e+07
    nnz(L+U), no partial pivoting, with AMD580,843
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD446,297
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD828,045

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

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

    Oberwolfach/flowmeter5 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.