Matrix: Schenk_IBMNA/c-64b

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-64b graph
(undirected graph drawing)


Schenk_IBMNA/c-64b

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  • Matrix group: Schenk_IBMNA
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    Matrix properties
    number of rows51,035
    number of columns51,035
    nonzeros707,601
    structural full rank?yes
    structural rank51,035
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries10,240
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2006
    kindsubsequent optimization problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 51035-by-1

    Notes:

    next: - first: Schenk_IBMNA/c-64                                       
    An earlier version (Oct. 2003) of this matrix was obtained from Olaf   
    Schenk, and appears here as Schenk_IBMNA/c-64.  However, it differs    
    from the version posted on his web site as of Nov. 2006.   The new     
    version appears here as Schenk_IBMNA/c-64b.   The two matrices are very
    similar, but not identical.                                            
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD714,598
    Cholesky flop count5.1e+07
    nnz(L+U), no partial pivoting, with AMD1,378,161
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD164,995,256
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD214,333,723

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10240 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.