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


  • Matrix: Sandia/fpga_dcop_07
  • Description: Sandia/fpga_dcop_07 circuit simulation matrix. Sandia National Lab.
  • download as a MATLAB mat-file, file size: 52 KB. Use SJget(127) or SJget('Sandia/fpga_dcop_07') in MATLAB.
  • download in Matrix Market format, file size: 61 KB.
  • download in Rutherford/Boeing format, file size: 61 KB.

    Sandia/fpga_dcop_07

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Sandia/fpga_dcop_07

    dmperm of Sandia/fpga_dcop_07

    scc of Sandia/fpga_dcop_07

    Matrix properties (click for a legend)  
    number of rows1,220
    number of columns1,220
    structural full rank?yes
    structural rank1,220
    numerical rank 1,210
    dimension of the numerical null space10
    numerical rank / min(size(A))0.9918
    Euclidean norm of A 369.55
    calculated singular value # 12101.325e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.9349e-011
    calculated singular value # 12112.7623e-011
    gap in the singular values at the numerical rank:
    singular value # 1210 / singular value # 1211
    4.7969
    calculated condition number5.5474e+014
    condest6.25e+014
    nonzeros5,855
    # of blocks from dmperm193
    # strongly connected comp.34
    entries not in dmperm blocks2,310
    explicit zero entries0
    nonzero pattern symmetry 82%
    numeric value symmetry 34%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2003
    kindsubsequent circuit simulation problem
    2D/3D problem?no
    SJid127
    UFid1,061

    Additional fieldssize and type
    bfull 1220-by-1

    Notes:

    next: Sandia/fpga_dcop_08 first: Sandia/fpga_dcop_01
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,482 5,437 2,947
    Cholesky flop count2.7e+004 2.7e+004 7.8e+003
    nnz(L+U), no partial pivoting9,744 9,654 6,984
    nnz(V) for QR, upper bound nnz(L) for LU10,457 12,777 2,512
    nnz(R) for QR, upper bound nnz(U) for LU26,631 27,575 6,608

    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.