Matrix: Schenk_IBMSDS/2D_27628_bjtcai

Description: Olaf Schenk, Univ. Basel: IBM TJ Watson, Yorktown, semiconductor device

Schenk_IBMSDS/2D_27628_bjtcai graph Schenk_IBMSDS/2D_27628_bjtcai graph
(bipartite graph drawing) (graph drawing of A+A')

Schenk_IBMSDS/2D_27628_bjtcai dmperm of Schenk_IBMSDS/2D_27628_bjtcai

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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(954) or UFget('Schenk_IBMSDS/2D_27628_bjtcai') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows27,628
    number of columns27,628
    nonzeros206,670
    structural full rank?yes
    structural rank27,628
    # of blocks from dmperm6,361
    # strongly connected comp.6,361
    explicit zero entries236,228
    nonzero pattern symmetry 100%
    numeric value symmetry 22%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2003
    kindsemiconductor device problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 27628-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,306,054
    Cholesky flop count1.9e+08
    nnz(L+U), no partial pivoting, with AMD2,584,480
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,655,386
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,115,120

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 236228 explicit zero entries.

    SVD-based statistics:
    norm(A)472559
    min(svd(A))3.00508e-15
    cond(A)1.57254e+20
    rank(A)18,442
    sprank(A)-rank(A)9,186
    null space dimension9,186
    full numerical rank?no
    singular value gap1.7452e+06

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

    Schenk_IBMSDS/2D_27628_bjtcai 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.