Matrix: Pothen/bodyy5

Description: bodyy5, with coordinates. From NASA, collected by Alex Pothen

Pothen/bodyy5 graph
(undirected graph drawing)

Pothen/bodyy5 graph

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  • Matrix group: Pothen
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(869) or UFget('Pothen/bodyy5') in MATLAB.
  • download in Matrix Market format, file size: 736 KB.
  • download in Rutherford/Boeing format, file size: 770 KB.

    Matrix properties
    number of rows18,589
    number of columns18,589
    structural full rank?yes
    structural rank18,589
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries428
    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 18589-by-2

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD636,443
    Cholesky flop count6.2e+07
    nnz(L+U), no partial pivoting, with AMD1,254,297
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,010,767
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,890,280

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 428 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/bodyy5 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.