• SJSU Singular Matrix Database
  • Matrix group: Sandia
  • Click here for a description of the Sandia group.
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  • Matrix: Sandia/mult_dcop_03
  • Description: Sandia/mult_dcop_03 circuit simulation matrix. Sandia National Lab.
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(425) or SJget('Sandia/mult_dcop_03') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 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, used with Matlab (R2008a) to calculate singular values 18269 to 18274 and associated error bounds.


    dmperm of Sandia/mult_dcop_03

    scc of Sandia/mult_dcop_03

    Matrix properties (click for a legend)  
    number of rows25,187
    number of columns25,187
    structural full rank?yes
    structural rank25,187
    numerical rank 18,271
    dimension of the numerical null space6,916
    numerical rank / min(size(A))0.72541
    Euclidean norm of A 17.176
    calculated singular value # 182712.2383e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 182724.0581e-011
    gap in the singular values at the numerical rank:
    singular value # 18271 / singular value # 18272
    calculated condition number-2
    # of blocks from dmperm7,447
    # strongly connected comp.107
    entries not in dmperm blocks114,074
    explicit zero entries0
    nonzero pattern symmetry 61%
    numeric value symmetry 1%
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    kindsubsequent circuit simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 25187-by-1


    next: - first: Sandia/mult_dcop_01

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))605,623 722,191 62,208
    Cholesky flop count1.1e+008 1.1e+008 2.0e+005
    nnz(L+U), no partial pivoting1,186,059 1,419,195 213,303
    nnz(V) for QR, upper bound nnz(L) for LU101,294,701 - 57,673
    nnz(R) for QR, upper bound nnz(U) for LU259,213,246 - 199,191

    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.