Matrix: GHS_psdef/ford1

Description: Gould, Hu, & Scott: car surface mesh, from Pothen & Kumfert

GHS_psdef/ford1 graph
(undirected graph drawing)


GHS_psdef/ford1

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  • Matrix group: GHS_psdef
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  • download as a MATLAB mat-file, file size: 166 KB. Use UFget(1262) or UFget('GHS_psdef/ford1') in MATLAB.
  • download in Matrix Market format, file size: 154 KB.
  • download in Rutherford/Boeing format, file size: 145 KB.

    Matrix properties
    number of rows18,728
    number of columns18,728
    nonzeros101,576
    structural full rank?yes
    structural rank18,728
    # 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

    authorG. Kumfert, A. Pothen
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD303,615
    Cholesky flop count1.4e+07
    nnz(L+U), no partial pivoting, with AMD588,502
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD652,845
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,237,976

    SVD-based statistics:
    norm(A)13.9705
    min(svd(A))7.19608e-50
    cond(A)1.94141e+50
    rank(A)18,194
    sprank(A)-rank(A)534
    null space dimension534
    full numerical rank?no
    singular value gap9.9064e+09

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

    GHS_psdef/ford1 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.