Matrix: HB/impcol_c

Description: UNSYMMETRIC MATRIX - ETHYLENE PLANT MODEL (CHEM ENG) ,1982

HB/impcol_c graph HB/impcol_c graph
(bipartite graph drawing) (graph drawing of A+A')


HB/impcol_c dmperm of HB/impcol_c
scc of HB/impcol_c

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(173) or UFget('HB/impcol_c') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Matrix properties
    number of rows137
    number of columns137
    nonzeros400
    structural full rank?yes
    structural rank137
    # of blocks from dmperm115
    # strongly connected comp.18
    explicit zero entries11
    nonzero pattern symmetry 4%
    numeric value symmetry 1%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Bogle
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,151
    Cholesky flop count1.5e+04
    nnz(L+U), no partial pivoting, with AMD2,165
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD463
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,065

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 11 explicit zero entries.

    SVD-based statistics:
    norm(A)120
    min(svd(A))0.00678679
    cond(A)17681.4
    rank(A)137
    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

    HB/impcol_c 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.