Matrix: Schenk_IBMNA/c-22

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-22 graph
(undirected graph drawing)

Schenk_IBMNA/c-22 dmperm of Schenk_IBMNA/c-22

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 172 KB. Use UFget(1541) or UFget('Schenk_IBMNA/c-22') in MATLAB.
  • download in Matrix Market format, file size: 144 KB.
  • download in Rutherford/Boeing format, file size: 132 KB.

    Matrix properties
    number of rows3,792
    number of columns3,792
    structural full rank?yes
    structural rank3,792
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries2
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 3792-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD35,826
    Cholesky flop count1.4e+06
    nnz(L+U), no partial pivoting, with AMD67,860
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD229,868
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD482,175

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2 explicit zero entries.

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Schenk_IBMNA/c-22 svd

    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.