• SJSU Singular Matrix Database
  • Matrix group: Sandia
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  • Matrix: Sandia/fpga_dcop_01
  • Description: Sandia/fpga_dcop_01 circuit simulation matrix. Sandia National Lab.
  • download as a MATLAB mat-file, file size: 19 KB. Use SJget(124) or SJget('Sandia/fpga_dcop_01') in MATLAB.
  • download in Matrix Market format, file size: 29 KB.
  • download in Rutherford/Boeing format, file size: 17 KB.

    Sandia/fpga_dcop_01

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

    Sandia/fpga_dcop_01

    dmperm of Sandia/fpga_dcop_01

    scc of Sandia/fpga_dcop_01

    Matrix properties (click for a legend)  
    number of rows1,220
    number of columns1,220
    structural full rank?yes
    structural rank1,220
    numerical rank 1,219
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99918
    Euclidean norm of A 2.8716
    calculated singular value # 12197.9206e-013
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.4179e-013
    calculated singular value # 12201.4648e-017
    gap in the singular values at the numerical rank:
    singular value # 1219 / singular value # 1220
    54072
    calculated condition number1.9604e+017
    condest2.2381e+034
    nonzeros5,892
    # of blocks from dmperm188
    # strongly connected comp.34
    entries not in dmperm blocks2,320
    explicit zero entries0
    nonzero pattern symmetry 82%
    numeric value symmetry 27%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2003
    kindcircuit simulation problem sequence
    2D/3D problem?no
    SJid124
    UFid1,055

    Additional fieldssize and type
    bfull 1220-by-1

    Notes:

    next: Sandia/fpga_dcop_02 first: Sandia/fpga_dcop_01
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,541 5,474 2,980
    Cholesky flop count2.8e+004 2.7e+004 8.0e+003
    nnz(L+U), no partial pivoting9,862 9,728 7,060
    nnz(V) for QR, upper bound nnz(L) for LU10,439 13,669 2,523
    nnz(R) for QR, upper bound nnz(U) for LU26,646 27,818 6,676

    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.