Matrix: GHS_indef/tuma2

Description: Gould, Hu, & Scott: mine model from Miroslav Tuma

GHS_indef/tuma2 graph
(undirected graph drawing)


GHS_indef/tuma2 dmperm of GHS_indef/tuma2

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 158 KB. Use UFget(1250) or UFget('GHS_indef/tuma2') in MATLAB.
  • download in Matrix Market format, file size: 138 KB.
  • download in Rutherford/Boeing format, file size: 122 KB.

    Matrix properties
    number of rows12,992
    number of columns12,992
    nonzeros49,365
    structural full rank?yes
    structural rank12,992
    # of blocks from dmperm1,101
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Tuma
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD251,290
    Cholesky flop count2.8e+07
    nnz(L+U), no partial pivoting, with AMD489,588
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD412,191
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD849,776

    SVD-based statistics:
    norm(A)4.89134
    min(svd(A))0.00287512
    cond(A)1701.27
    rank(A)12,992
    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

    GHS_indef/tuma2 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.