Matrix: Bomhof/circuit_2

Description: Circuit DAE with BDF method & Newton. W. Bomhof, Univ. Utrecht

Bomhof/circuit_2 graph Bomhof/circuit_2 graph
(bipartite graph drawing) (graph drawing of A+A')

Bomhof/circuit_2 dmperm of Bomhof/circuit_2
scc of Bomhof/circuit_2

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  • Matrix group: Bomhof
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  • download as a MATLAB mat-file, file size: 132 KB. Use UFget(371) or UFget('Bomhof/circuit_2') in MATLAB.
  • download in Matrix Market format, file size: 168 KB.
  • download in Rutherford/Boeing format, file size: 146 KB.

    Matrix properties
    number of rows4,510
    number of columns4,510
    structural full rank?yes
    structural rank4,510
    # of blocks from dmperm3,249
    # strongly connected comp.3,231
    explicit zero entries0
    nonzero pattern symmetry 81%
    numeric value symmetry 42%
    Cholesky candidate?no
    positive definite?no

    authorW. Bomhof
    editorT. Davis
    kindcircuit simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 4510-by-1
    xfull 4510-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD19,811
    Cholesky flop count2.2e+05
    nnz(L+U), no partial pivoting, with AMD35,112
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD319,188
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD824,711

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = piro_band_svd (A)

    Bomhof/circuit_2 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.