• SJSU Singular Matrix Database
  • Matrix group: Sandia
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  • Matrix: Sandia/ASIC_320ks
  • Description: Sandia, Xyce circuit simulation matrix (base)
  • download as a MATLAB mat-file, file size: 5 MB. Use SJget(503) or SJget('Sandia/ASIC_320ks') in MATLAB.
  • download in Matrix Market format, file size: 8 MB.
  • download in Rutherford/Boeing format, file size: 6 MB.

    Sandia/ASIC_320ks

    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 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 99188 to 99193 and associated error bounds.

    Sandia/ASIC_320ks

    dmperm of Sandia/ASIC_320ks

    Matrix properties (click for a legend)  
    number of rows321,671
    number of columns321,671
    structural full rank?yes
    structural rank321,671
    numerical rank 99,190
    dimension of the numerical null space222,481
    numerical rank / min(size(A))0.30836
    Euclidean norm of A 2e+006
    calculated singular value # 991900.00038307
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    7.4895e-005
    calculated singular value # 991912.1953e-014
    gap in the singular values at the numerical rank:
    singular value # 99190 / singular value # 99191
    1.7449e+010
    calculated condition number-2
    condest5.0631e+022
    nonzeros1,316,085
    # of blocks from dmperm249
    # strongly connected comp.249
    entries not in dmperm blocks0
    explicit zero entries511,722
    nonzero pattern symmetrysymmetric
    numeric value symmetry 29%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2006
    kindcircuit simulation problem
    2D/3D problem?no
    SJid503
    UFid1,418

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,214,107 2,217,063 2,198,763
    Cholesky flop count5.6e+008 3.5e+008 3.3e+008
    nnz(L+U), no partial pivoting4,106,543 4,112,455 4,075,855
    nnz(V) for QR, upper bound nnz(L) for LU30,517,340 16,979,958 17,103,611
    nnz(R) for QR, upper bound nnz(U) for LU55,273,159 33,260,005 33,402,557

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 511722 explicit zero entries.

    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.