Matrix: Pothen/bodyy6

Description: bodyy6, with coordinates. From NASA, collected by Alex Pothen

Pothen/bodyy6 graph
(undirected graph drawing)

Pothen/bodyy6 graph

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  • Matrix group: Pothen
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(870) or UFget('Pothen/bodyy6') in MATLAB.
  • download in Matrix Market format, file size: 766 KB.
  • download in Rutherford/Boeing format, file size: 796 KB.

    Matrix properties
    number of rows19,366
    number of columns19,366
    structural full rank?yes
    structural rank19,366
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries540
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    editorG. Kumfert, A. Pothen
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    coordfull 19366-by-2

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD687,941
    Cholesky flop count7.0e+07
    nnz(L+U), no partial pivoting, with AMD1,356,516
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,093,951
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,034,924

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 540 explicit zero entries.

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

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero

    Pothen/bodyy6 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.