Matrix: Schenk_IBMNA/c-26

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-26 graph
(undirected graph drawing)


Schenk_IBMNA/c-26

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 214 KB. Use UFget(1545) or UFget('Schenk_IBMNA/c-26') in MATLAB.
  • download in Matrix Market format, file size: 181 KB.
  • download in Rutherford/Boeing format, file size: 167 KB.

    Matrix properties
    number of rows4,307
    number of columns4,307
    nonzeros34,537
    structural full rank?yes
    structural rank4,307
    # 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 4307-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD36,384
    Cholesky flop count7.0e+05
    nnz(L+U), no partial pivoting, with AMD68,461
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD277,476
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD554,866

    SVD-based statistics:
    norm(A)518813
    min(svd(A))0.00112689
    cond(A)4.60392e+08
    rank(A)4,307
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Schenk_IBMNA/c-26 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.