Matrix: Schenk_IBMNA/c-41

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-41 graph
(undirected graph drawing)


Schenk_IBMNA/c-41 dmperm of Schenk_IBMNA/c-41

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Schenk_IBMNA
  • Click here for a description of the Schenk_IBMNA group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 626 KB. Use UFget(1560) or UFget('Schenk_IBMNA/c-41') in MATLAB.
  • download in Matrix Market format, file size: 509 KB.
  • download in Rutherford/Boeing format, file size: 470 KB.

    Matrix properties
    number of rows9,769
    number of columns9,769
    nonzeros101,635
    structural full rank?yes
    structural rank9,769
    # of blocks from dmperm8
    # strongly connected comp.8
    explicit zero entries110
    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 9769-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD153,504
    Cholesky flop count1.0e+07
    nnz(L+U), no partial pivoting, with AMD297,239
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,630,571
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,709,653

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 110 explicit zero entries.

    SVD-based statistics:
    norm(A)47781.9
    min(svd(A))1.00001e-08
    cond(A)4.77816e+12
    rank(A)9,705
    sprank(A)-rank(A)64
    null space dimension64
    full numerical rank?no
    singular value gap2.55344

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

    Schenk_IBMNA/c-41 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.