Matrix: Schenk_IBMNA/c-57

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-57 graph
(undirected graph drawing)


Schenk_IBMNA/c-57 dmperm of Schenk_IBMNA/c-57

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1575) or UFget('Schenk_IBMNA/c-57') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows37,833
    number of columns37,833
    nonzeros403,373
    structural full rank?yes
    structural rank37,833
    # of blocks from dmperm49
    # strongly connected comp.49
    explicit zero entries1,824
    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 37833-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD342,529
    Cholesky flop count1.1e+07
    nnz(L+U), no partial pivoting, with AMD647,225
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD109,761,396
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD154,617,046

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1824 explicit zero entries.

    SVD-based statistics:
    norm(A)72701
    min(svd(A))0.000409799
    cond(A)1.77406e+08
    rank(A)37,833
    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-57 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.