Matrix: Hamrle/Hamrle2

Description: Hamrle/Hamrle2 circuit simulation matrix

Hamrle/Hamrle2 graph Hamrle/Hamrle2 graph
(bipartite graph drawing) (graph drawing of A+A')


Hamrle/Hamrle2

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  • Matrix group: Hamrle
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  • download as a MATLAB mat-file, file size: 37 KB. Use UFget(1200) or UFget('Hamrle/Hamrle2') in MATLAB.
  • download in Matrix Market format, file size: 86 KB.
  • download in Rutherford/Boeing format, file size: 52 KB.

    Matrix properties
    number of rows5,952
    number of columns5,952
    nonzeros22,162
    structural full rank?yes
    structural rank5,952
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Hamrle
    editorT. Davis
    date2004
    kindcircuit simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bsparse 5952-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,302,267
    Cholesky flop count3.1e+09
    nnz(L+U), no partial pivoting, with AMD4,598,582
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD43,693
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD88,907

    SVD-based statistics:
    norm(A)110.277
    min(svd(A))0.00164787
    cond(A)66920.8
    rank(A)5,952
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Hamrle/Hamrle2 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.