Matrix: GHS_indef/c-68

Description: Schenk: IBM TJ Watson, Yorktown, nonlinear optimization

GHS_indef/c-68 graph
(undirected graph drawing)


GHS_indef/c-68 dmperm of GHS_indef/c-68

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1225) or UFget('GHS_indef/c-68') in MATLAB.
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    Matrix properties
    number of rows64,810
    number of columns64,810
    nonzeros565,996
    structural full rank?yes
    structural rank64,810
    # of blocks from dmperm6
    # strongly connected comp.6
    explicit zero entries10
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2004
    kindoptimization problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 64810-by-1

    Notes:

    Revised Nov 2006; relative eps changes to A, right-hand-side added.
    Note that this matrix should have been placed in the Schenk_IBMNA/ 
    directory when it was first added in August 2004, but moving it now
    would disrupt exising users of the collection.                     
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD6,523,400
    Cholesky flop count1.2e+10
    nnz(L+U), no partial pivoting, with AMD12,981,990
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD142,703,950
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD188,966,842

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10 explicit zero entries.

    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.