Matrix: IBM_Austin/coupled

Description: IBM Austin, transient simulation, timing path. high coupling

IBM_Austin/coupled graph
(undirected graph drawing)


IBM_Austin/coupled dmperm of IBM_Austin/coupled

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  • Matrix group: IBM_Austin
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  • download as a MATLAB mat-file, file size: 755 KB. Use UFget(1183) or UFget('IBM_Austin/coupled') in MATLAB.
  • download in Matrix Market format, file size: 935 KB.
  • download in Rutherford/Boeing format, file size: 879 KB.

    Matrix properties
    number of rows11,341
    number of columns11,341
    nonzeros97,193
    structural full rank?yes
    structural rank11,341
    # of blocks from dmperm49
    # strongly connected comp.1
    explicit zero entries1,330
    nonzero pattern symmetrysymmetric
    numeric value symmetry 78%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorE. Acar
    editorT. Davis
    date2004
    kindcircuit simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD191,898
    Cholesky flop count1.3e+07
    nnz(L+U), no partial pivoting, with AMD372,455
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD15,410,571
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD28,059,977

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1330 explicit zero entries.

    SVD-based statistics:
    norm(A)201.519
    min(svd(A))0.00545253
    cond(A)36958.8
    rank(A)11,341
    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

    IBM_Austin/coupled 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.