Matrix: Schenk_IBMNA/c-43

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-43 graph
(undirected graph drawing)


Schenk_IBMNA/c-43 dmperm of Schenk_IBMNA/c-43

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 515 KB. Use UFget(1562) or UFget('Schenk_IBMNA/c-43') in MATLAB.
  • download in Matrix Market format, file size: 433 KB.
  • download in Rutherford/Boeing format, file size: 375 KB.

    Matrix properties
    number of rows11,125
    number of columns11,125
    nonzeros123,659
    structural full rank?yes
    structural rank11,125
    # of blocks from dmperm9
    # strongly connected comp.9
    explicit zero entries16
    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 11125-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD112,282
    Cholesky flop count4.0e+06
    nnz(L+U), no partial pivoting, with AMD213,439
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,138,165
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD9,821,533

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 16 explicit zero entries.

    SVD-based statistics:
    norm(A)65289.6
    min(svd(A))7.12668e-05
    cond(A)9.16128e+08
    rank(A)11,125
    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-43 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.