• SJSU Singular Matrix Database
  • Matrix group: Sandia
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  • Matrix: Sandia/ASIC_680ks
  • Description: Sandia, Xyce circuit simulation matrix (base)
  • download as a MATLAB mat-file, file size: 7 MB. Use SJget(475) or SJget('Sandia/ASIC_680ks') in MATLAB.
  • download in Matrix Market format, file size: 12 MB.
  • download in Rutherford/Boeing format, file size: 9 MB.

    Sandia/ASIC_680ks

    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 583660 to 583665 and associated error bounds.

    Sandia/ASIC_680ks

    dmperm of Sandia/ASIC_680ks

    Matrix properties (click for a legend)  
    number of rows682,712
    number of columns682,712
    structural full rank?yes
    structural rank682,712
    numerical rank 583,662
    dimension of the numerical null space99,050
    numerical rank / min(size(A))0.85492
    Euclidean norm of A 2e+006
    calculated singular value # 5836620.0002
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.00015896
    calculated singular value # 5836630.0001
    gap in the singular values at the numerical rank:
    singular value # 583662 / singular value # 583663
    2
    calculated condition number-2
    condest9.4746e+019
    nonzeros1,693,767
    # of blocks from dmperm583,771
    # strongly connected comp.583,771
    entries not in dmperm blocks583,679
    explicit zero entries635,409
    nonzero pattern symmetrysymmetric
    numeric value symmetry 1%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Hoekstra
    editorT. Davis
    date2006
    kindcircuit simulation problem
    2D/3D problem?no
    SJid475
    UFid1,420

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))2,819,942 17,709,928 2,256,146
    Cholesky flop count4.6e+008 3.3e+010 3.4e+008
    nnz(L+U), no partial pivoting4,957,172 34,737,144 4,413,259
    nnz(V) for QR, upper bound nnz(L) for LU35,575,619 16,987,347 15,401,378
    nnz(R) for QR, upper bound nnz(U) for LU68,063,729 37,452,751 30,331,646

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 635409 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.