Matrix: Schenk_IBMNA/c-27

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-27 graph
(undirected graph drawing)


Schenk_IBMNA/c-27

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 191 KB. Use UFget(1546) or UFget('Schenk_IBMNA/c-27') in MATLAB.
  • download in Matrix Market format, file size: 163 KB.
  • download in Rutherford/Boeing format, file size: 150 KB.

    Matrix properties
    number of rows4,563
    number of columns4,563
    nonzeros30,927
    structural full rank?yes
    structural rank4,563
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries448
    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 4563-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD33,260
    Cholesky flop count6.2e+05
    nnz(L+U), no partial pivoting, with AMD61,957
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD211,163
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD377,809

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 448 explicit zero entries.

    SVD-based statistics:
    norm(A)19187
    min(svd(A))0.00110281
    cond(A)1.73982e+07
    rank(A)4,563
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Schenk_IBMNA/c-27 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.