Matrix: Schenk_IBMNA/c-51

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-51 graph
(undirected graph drawing)


Schenk_IBMNA/c-51 dmperm of Schenk_IBMNA/c-51

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1570) or UFget('Schenk_IBMNA/c-51') in MATLAB.
  • download in Matrix Market format, file size: 968 KB.
  • download in Rutherford/Boeing format, file size: 888 KB.

    Matrix properties
    number of rows23,196
    number of columns23,196
    nonzeros203,048
    structural full rank?yes
    structural rank23,196
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries2
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 23196-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD633,863
    Cholesky flop count1.4e+08
    nnz(L+U), no partial pivoting, with AMD1,244,530
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD21,470,795
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD29,113,928

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

    SVD-based statistics:
    norm(A)5303.47
    min(svd(A))0.00137391
    cond(A)3.86012e+06
    rank(A)23,196
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Schenk_IBMNA/c-51 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.