• SJSU Singular Matrix Database
  • Matrix group: Sandia
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  • Matrix: Sandia/mult_dcop_01
  • Description: Sandia/mult_dcop_01 circuit simulation matrix. Sandia National Lab.
  • download as a MATLAB mat-file, file size: 712 KB. Use SJget(397) or SJget('Sandia/mult_dcop_01') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 748 KB.

    Sandia/mult_dcop_01

    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 normest_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-008, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 25163 to 25168 and associated error bounds.

    Sandia/mult_dcop_01

    dmperm of Sandia/mult_dcop_01

    scc of Sandia/mult_dcop_01

    Matrix properties (click for a legend)  
    number of rows25,187
    number of columns25,187
    structural full rank?yes
    structural rank25,187
    numerical rank 25,165
    dimension of the numerical null space22
    numerical rank / min(size(A))0.99913
    Euclidean norm of A 1.1253
    calculated singular value # 251651.4255e-011
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.5926e-012
    calculated singular value # 251665.4145e-012
    gap in the singular values at the numerical rank:
    singular value # 25165 / singular value # 25166
    2.6327
    calculated condition number-2
    condest1.8809e+014
    nonzeros193,276
    # of blocks from dmperm7,417
    # strongly connected comp.107
    entries not in dmperm blocks114,064
    explicit zero entries0
    nonzero pattern symmetry 61%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2003
    kindcircuit simulation problem sequence
    2D/3D problem?no
    SJid397
    UFid1,109

    Additional fieldssize and type
    bfull 25187-by-1

    Notes:

    next: Sandia/mult_dcop_02 first: Sandia/mult_dcop_01
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))605,643 740,537 62,186
    Cholesky flop count1.1e+008 1.2e+008 1.9e+005
    nnz(L+U), no partial pivoting1,186,099 1,455,887 213,249
    nnz(V) for QR, upper bound nnz(L) for LU101,335,764 - 57,672
    nnz(R) for QR, upper bound nnz(U) for LU259,213,286 - 199,321

    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.