Matrix: Schenk_IBMNA/c-50

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-50 graph
(undirected graph drawing)


Schenk_IBMNA/c-50 dmperm of Schenk_IBMNA/c-50

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 953 KB. Use UFget(1569) or UFget('Schenk_IBMNA/c-50') in MATLAB.
  • download in Matrix Market format, file size: 838 KB.
  • download in Rutherford/Boeing format, file size: 760 KB.

    Matrix properties
    number of rows22,401
    number of columns22,401
    nonzeros180,245
    structural full rank?yes
    structural rank22,401
    # of blocks from dmperm3
    # strongly connected comp.3
    explicit zero entries13,380
    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 22401-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD341,148
    Cholesky flop count5.2e+07
    nnz(L+U), no partial pivoting, with AMD659,895
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD20,564,894
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD38,976,276

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13380 explicit zero entries.

    SVD-based statistics:
    norm(A)265860
    min(svd(A))1.67639e-05
    cond(A)1.5859e+10
    rank(A)22,401
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Schenk_IBMNA/c-50 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.