Matrix: GHS_indef/tuma1

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

GHS_indef/tuma1 graph
(undirected graph drawing)


GHS_indef/tuma1 dmperm of GHS_indef/tuma1

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 226 KB. Use UFget(1249) or UFget('GHS_indef/tuma1') in MATLAB.
  • download in Matrix Market format, file size: 221 KB.
  • download in Rutherford/Boeing format, file size: 190 KB.

    Matrix properties
    number of rows22,967
    number of columns22,967
    nonzeros87,760
    structural full rank?yes
    structural rank22,967
    # of blocks from dmperm1,437
    # 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 AMD694,734
    Cholesky flop count1.5e+08
    nnz(L+U), no partial pivoting, with AMD1,366,501
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,261,810
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,523,723

    SVD-based statistics:
    norm(A)4.89134
    min(svd(A))0.0015955
    cond(A)3065.71
    rank(A)22,967
    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/tuma1 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.