• SJSU Singular Matrix Database
  • Matrix group: Sandia
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  • Matrix: Sandia/fpga_dcop_09
  • Description: Sandia/fpga_dcop_09 circuit simulation matrix. Sandia National Lab.
  • download as a MATLAB mat-file, file size: 51 KB. Use SJget(292) or SJget('Sandia/fpga_dcop_09') in MATLAB.
  • download in Matrix Market format, file size: 61 KB.
  • download in Rutherford/Boeing format, file size: 61 KB.

    Sandia/fpga_dcop_09

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

    Sandia/fpga_dcop_09

    dmperm of Sandia/fpga_dcop_09

    scc of Sandia/fpga_dcop_09

    Matrix properties (click for a legend)  
    number of rows1,220
    number of columns1,220
    structural full rank?yes
    structural rank1,220
    numerical rank 1,208
    dimension of the numerical null space12
    numerical rank / min(size(A))0.99016
    Euclidean norm of A 20.163
    calculated singular value # 12081.0013e-011
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.3343e-012
    calculated singular value # 12091.0631e-012
    gap in the singular values at the numerical rank:
    singular value # 1208 / singular value # 1209
    9.4195
    calculated condition number3.0263e+013
    condest3.4462e+013
    nonzeros5,888
    # of blocks from dmperm189
    # strongly connected comp.34
    entries not in dmperm blocks2,320
    explicit zero entries0
    nonzero pattern symmetry 82%
    numeric value symmetry 33%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2003
    kindsubsequent circuit simulation problem
    2D/3D problem?no
    SJid292
    UFid1,063

    Additional fieldssize and type
    bfull 1220-by-1

    Notes:

    next: Sandia/fpga_dcop_10 first: Sandia/fpga_dcop_01
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,559 5,471 2,974
    Cholesky flop count2.8e+004 2.7e+004 7.9e+003
    nnz(L+U), no partial pivoting9,898 9,722 7,048
    nnz(V) for QR, upper bound nnz(L) for LU10,522 13,474 2,523
    nnz(R) for QR, upper bound nnz(U) for LU26,643 27,809 6,671

    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.