Matrix: Schenk_IBMNA/c-73b

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-73b graph
(undirected graph drawing)


Schenk_IBMNA/c-73b

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  • Matrix group: Schenk_IBMNA
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    Matrix properties
    number of rows169,422
    number of columns169,422
    nonzeros1,279,274
    structural full rank?yes
    structural rank169,422
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    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 169422-by-1

    Notes:

    next: - first: Schenk_IBMNA/c-73                                       
    An earlier version (Oct. 2003) of this matrix was obtained from Olaf   
    Schenk, and appears here as Schenk_IBMNA/c-73.  However, it differs    
    from the version posted on his web site as of Nov. 2006.   The new     
    version appears here as Schenk_IBMNA/c-73b.   The two matrices are very
    similar, but not identical.                                            
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,208,869
    Cholesky flop count9.7e+07
    nnz(L+U), no partial pivoting, with AMD2,248,316
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,212,415,880
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,593,886,023

    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.