Matrix: HB/impcol_e

Description: UNSYMMETRIC MATRIX - HYDROCARBON SEPARATION PROBLEM(CHEM ENG),1982

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


HB/impcol_e dmperm of HB/impcol_e
scc of HB/impcol_e

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 7 KB. Use UFget(175) or UFget('HB/impcol_e') in MATLAB.
  • download in Matrix Market format, file size: 7 KB.
  • download in Rutherford/Boeing format, file size: 6 KB.

    Matrix properties
    number of rows225
    number of columns225
    nonzeros1,303
    structural full rank?yes
    structural rank225
    # of blocks from dmperm151
    # strongly connected comp.17
    explicit zero entries5
    nonzero pattern symmetry 10%
    numeric value symmetry 0%
    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 AMD3,274
    Cholesky flop count7.3e+04
    nnz(L+U), no partial pivoting, with AMD6,323
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,002
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,044

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5 explicit zero entries.

    SVD-based statistics:
    norm(A)5000
    min(svd(A))0.000704129
    cond(A)7.10097e+06
    rank(A)225
    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_e 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.