Matrix: Pothen/bodyy4

Description: bodyy4, with coordinates. From NASA, collected by Alex Pothen

Pothen/bodyy4 graph
(undirected graph drawing)


Pothen/bodyy4
Pothen/bodyy4 graph

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  • Matrix group: Pothen
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(868) or UFget('Pothen/bodyy4') in MATLAB.
  • download in Matrix Market format, file size: 694 KB.
  • download in Rutherford/Boeing format, file size: 732 KB.

    Matrix properties
    number of rows17,546
    number of columns17,546
    nonzeros121,550
    structural full rank?yes
    structural rank17,546
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries388
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorNASA
    editorG. Kumfert, A. Pothen
    date2003
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    coordfull 17546-by-2

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD572,607
    Cholesky flop count5.2e+07
    nnz(L+U), no partial pivoting, with AMD1,127,668
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD904,977
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,686,085

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 388 explicit zero entries.

    SVD-based statistics:
    norm(A)832.222
    min(svd(A))1.03268
    cond(A)805.886
    rank(A)17,546
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Pothen/bodyy4 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.