Matrix: Schenk_IBMNA/c-52

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-52 graph
(undirected graph drawing)


Schenk_IBMNA/c-52 dmperm of Schenk_IBMNA/c-52

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1571) or UFget('Schenk_IBMNA/c-52') in MATLAB.
  • download in Matrix Market format, file size: 984 KB.
  • download in Rutherford/Boeing format, file size: 905 KB.

    Matrix properties
    number of rows23,948
    number of columns23,948
    nonzeros202,708
    structural full rank?yes
    structural rank23,948
    # of blocks from dmperm5
    # strongly connected comp.5
    explicit zero entries8
    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 23948-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD308,197
    Cholesky flop count2.1e+07
    nnz(L+U), no partial pivoting, with AMD592,446
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD24,034,892
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD34,364,025

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 8 explicit zero entries.

    SVD-based statistics:
    norm(A)1.94346e+15
    min(svd(A))1e-08
    cond(A)1.94345e+23
    rank(A)9
    sprank(A)-rank(A)23,939
    null space dimension23,939
    full numerical rank?no
    singular value gap2.2948

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

    Schenk_IBMNA/c-52 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.