• SJSU Singular Matrix Database
  • Matrix group: Schenk_ISEI
  • Click here for a description of the Schenk_ISEI group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups

  • Matrix: Schenk_ISEI/igbt3
  • Description: Olaf Schenk, Univ. Basel: Integrated Systems Eng., San Jose, semiconductor device
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(432) or SJget('Schenk_ISEI/igbt3') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.


    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-010, used with Matlab (R2008a) to calculate singular values 7590 to 7595 and associated error bounds.


    Matrix properties (click for a legend)  
    number of rows10,938
    number of columns10,938
    structural full rank?yes
    structural rank10,938
    numerical rank 7,592
    dimension of the numerical null space3,346
    numerical rank / min(size(A))0.69409
    Euclidean norm of A 1.2039e+012
    calculated singular value # 75922.6749
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 75932.6656
    gap in the singular values at the numerical rank:
    singular value # 7592 / singular value # 7593
    calculated condition number-2
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    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:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))595,714 562,450
    Cholesky flop count5.7e+007 4.8e+007
    nnz(L+U), no partial pivoting1,180,490 1,113,962
    nnz(V) for QR, upper bound nnz(L) for LU758,836 826,528
    nnz(R) for QR, upper bound nnz(U) for LU1,450,496 1,575,971

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

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.