• SJSU Singular Matrix Database
  • Matrix group: IBM_EDA
  • Click here for a description of the IBM_EDA group.
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  • Matrix: IBM_EDA/ckt11752_tr_0
  • Description: Circuit simulation problem from R. Kimmel, IBM EDA
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(414) or SJget('IBM_EDA/ckt11752_tr_0') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    IBM_EDA/ckt11752_tr_0

    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 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 49696 to 49701 and associated error bounds.

    IBM_EDA/ckt11752_tr_0

    dmperm of IBM_EDA/ckt11752_tr_0

    Matrix properties (click for a legend)  
    number of rows49,702
    number of columns49,702
    structural full rank?yes
    structural rank49,702
    numerical rank 49,698
    dimension of the numerical null space4
    numerical rank / min(size(A))0.99992
    Euclidean norm of A 4.0212e+007
    calculated singular value # 496980.0087052
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.00037031
    calculated singular value # 496997.0707e-005
    gap in the singular values at the numerical rank:
    singular value # 49698 / singular value # 49699
    123.12
    calculated condition number-2
    condest4.0212e+013
    nonzeros332,807
    # of blocks from dmperm199
    # strongly connected comp.199
    entries not in dmperm blocks4,487
    explicit zero entries222
    nonzero pattern symmetry 98%
    numeric value symmetry 74%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorT. Lehner
    editorT. Davis
    date2006
    kindcircuit simulation problem
    2D/3D problem?no
    SJid414
    UFid1,414

    Additional fieldssize and type
    bfull 49702-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))555,754 625,745 573,725
    Cholesky flop count1.8e+007 2.2e+007 1.9e+007
    nnz(L+U), no partial pivoting1,061,806 1,201,788 1,102,235
    nnz(V) for QR, upper bound nnz(L) for LU11,239,524 9,282,364 8,326,162
    nnz(R) for QR, upper bound nnz(U) for LU20,737,427 19,668,571 19,010,566

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 222 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.