Matrix: HB/impcol_a

Description: UNSYMMETRIC MATRIX - HEAT EXCHANGER NETWORK (CHEM ENG) ,1982

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


HB/impcol_a dmperm of HB/impcol_a
scc of HB/impcol_a

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(171) or UFget('HB/impcol_a') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows207
    number of columns207
    nonzeros572
    structural full rank?yes
    structural rank207
    # of blocks from dmperm164
    # strongly connected comp.4
    explicit zero entries0
    nonzero pattern symmetry 2%
    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 AMD2,721
    Cholesky flop count6.4e+04
    nnz(L+U), no partial pivoting, with AMD5,235
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD573
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,098

    SVD-based statistics:
    norm(A)855.462
    min(svd(A))6.32908e-06
    cond(A)1.35164e+08
    rank(A)207
    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_a 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.