Matrix: Schenk_IBMNA/c-48

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-48 graph
(undirected graph drawing)


Schenk_IBMNA/c-48

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 915 KB. Use UFget(1567) or UFget('Schenk_IBMNA/c-48') in MATLAB.
  • download in Matrix Market format, file size: 758 KB.
  • download in Rutherford/Boeing format, file size: 684 KB.

    Matrix properties
    number of rows18,354
    number of columns18,354
    nonzeros166,080
    structural full rank?yes
    structural rank18,354
    # 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 18354-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD361,142
    Cholesky flop count8.0e+07
    nnz(L+U), no partial pivoting, with AMD703,930
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD4,041,409
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,612,673

    SVD-based statistics:
    norm(A)473332
    min(svd(A))0.000396999
    cond(A)1.19228e+09
    rank(A)18,354
    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-48 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.