Matrix: GHS_indef/laser

Description: Gould, Hu, & Scott:

GHS_indef/laser graph
(undirected graph drawing)


GHS_indef/laser dmperm of GHS_indef/laser

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  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
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  • download as a MATLAB mat-file, file size: 14 KB. Use UFget(1239) or UFget('GHS_indef/laser') in MATLAB.
  • download in Matrix Market format, file size: 14 KB.
  • download in Rutherford/Boeing format, file size: 13 KB.

    Matrix properties
    number of rows3,002
    number of columns3,002
    nonzeros9,000
    structural full rank?no
    structural rank3,000
    # of blocks from dmperm1,002
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    author
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindmaterials problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD8,001
    Cholesky flop count2.2e+04
    nnz(L+U), no partial pivoting, with AMD13,000
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,993
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,996

    SVD-based statistics:
    norm(A)4.24914
    min(svd(A))3.0721e-17
    cond(A)1.38314e+17
    rank(A)3,000
    sprank(A)-rank(A)0
    null space dimension2
    full numerical rank?no
    singular value gap2.47245e+15

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

    GHS_indef/laser 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.