Matrix: GHS_indef/c-71

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

GHS_indef/c-71 graph
(undirected graph drawing)


GHS_indef/c-71 dmperm of GHS_indef/c-71

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(1228) or UFget('GHS_indef/c-71') in MATLAB.
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    Matrix properties
    number of rows76,638
    number of columns76,638
    nonzeros859,520
    structural full rank?yes
    structural rank76,638
    # of blocks from dmperm18
    # strongly connected comp.18
    explicit zero entries34
    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 76638-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 AMD19,945,308
    Cholesky flop count5.7e+10
    nnz(L+U), no partial pivoting, with AMD39,813,978
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD321,864,432
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD426,224,761

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 34 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.