Matrix: Schenk_ISEI/igbt3

Description: Olaf Schenk, Univ. Basel: Integrated Systems Eng., San Jose, semiconductor device

Schenk_ISEI/igbt3 graph
(undirected graph drawing)


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  • Matrix group: Schenk_ISEI
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(969) or UFget('Schenk_ISEI/igbt3') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows10,938
    number of columns10,938
    structural full rank?yes
    structural rank10,938
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries103,506
    nonzero pattern symmetrysymmetric
    numeric value symmetry 17%
    Cholesky candidate?no
    positive definite?no

    authorIntegrated Sys. Eng.
    editorO. Schenk
    kindsemiconductor device problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 10938-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD595,714
    Cholesky flop count5.7e+07
    nnz(L+U), no partial pivoting, with AMD1,180,490
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD758,836
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,450,496

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 103506 explicit zero entries.

    SVD-based statistics:
    null space dimension3,346
    full numerical rank?no
    singular value gap1.00348

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

    Schenk_ISEI/igbt3 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.