Matrix: GHS_indef/c-72

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

GHS_indef/c-72 graph
(undirected graph drawing)


GHS_indef/c-72 dmperm of GHS_indef/c-72

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(1229) or UFget('GHS_indef/c-72') in MATLAB.
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    Matrix properties
    number of rows84,064
    number of columns84,064
    nonzeros707,546
    structural full rank?yes
    structural rank84,064
    # of blocks from dmperm7
    # strongly connected comp.7
    explicit zero entries12
    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 84064-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 AMD3,240,482
    Cholesky flop count2.0e+09
    nnz(L+U), no partial pivoting, with AMD6,396,900
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD276,569,341
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD369,734,448

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 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.