Matrix: Pothen/sphere2

Description: sphere2, with coordinates. From NASA, collected by Alex Pothen

Pothen/sphere2 graph
(undirected graph drawing)


Pothen/sphere2
Pothen/sphere2 graph

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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(883) or UFget('Pothen/sphere2') in MATLAB.
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    Matrix properties
    number of rows66
    number of columns66
    nonzeros450
    structural full rank?yes
    structural rank66
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Additional fieldssize and type
    coordfull 66-by-3

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD682
    Cholesky flop count8.6e+03
    nnz(L+U), no partial pivoting, with AMD1,298
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD807
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,368

    SVD-based statistics:
    norm(A)6.87707
    min(svd(A))2.27352e-16
    cond(A)3.02486e+16
    rank(A)64
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap1.40871e+14

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

    Pothen/sphere2 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.