Matrix: Schenk_IBMNA/c-31

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-31 graph
(undirected graph drawing)


Schenk_IBMNA/c-31

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 384 KB. Use UFget(1550) or UFget('Schenk_IBMNA/c-31') in MATLAB.
  • download in Matrix Market format, file size: 329 KB.
  • download in Rutherford/Boeing format, file size: 292 KB.

    Matrix properties
    number of rows5,339
    number of columns5,339
    nonzeros78,571
    structural full rank?yes
    structural rank5,339
    # 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 5339-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD113,334
    Cholesky flop count7.3e+06
    nnz(L+U), no partial pivoting, with AMD221,329
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD596,936
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,218,593

    SVD-based statistics:
    norm(A)54940
    min(svd(A))4.84533e-05
    cond(A)1.13387e+09
    rank(A)5,339
    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-31 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.