Matrix: Schenk_IBMNA/c-45

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-45 graph
(undirected graph drawing)

Schenk_IBMNA/c-45

  • 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: 570 KB. Use UFget(1564) or UFget('Schenk_IBMNA/c-45') in MATLAB.
  • download in Matrix Market format, file size: 466 KB.
  • download in Rutherford/Boeing format, file size: 302 KB.

    Matrix properties
    number of rows13,206
    number of columns13,206
    nonzeros174,452
    structural full rank?yes
    structural rank13,206
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    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 13206-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD128,033
    Cholesky flop count2.5e+06
    nnz(L+U), no partial pivoting, with AMD242,860
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,626,694
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD13,382,907

    SVD-based statistics:
    norm(A)365773
    min(svd(A))6.71534e-06
    cond(A)5.44682e+10
    rank(A)13,206
    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-45 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.