Matrix: Schenk_IBMNA/c-53

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-53 graph
(undirected graph drawing)


Schenk_IBMNA/c-53 dmperm of Schenk_IBMNA/c-53

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1572) or UFget('Schenk_IBMNA/c-53') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows30,235
    number of columns30,235
    nonzeros355,139
    structural full rank?yes
    structural rank30,235
    # of blocks from dmperm42
    # strongly connected comp.42
    explicit zero entries17,074
    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 30235-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD389,865
    Cholesky flop count3.4e+07
    nnz(L+U), no partial pivoting, with AMD749,495
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD49,911,958
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD63,499,171

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17074 explicit zero entries.

    SVD-based statistics:
    norm(A)5361.89
    min(svd(A))0.000141322
    cond(A)3.7941e+07
    rank(A)30,235
    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-53 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.