Matrix: HB/impcol_d

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

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


HB/impcol_d dmperm of HB/impcol_d
scc of HB/impcol_d

  • 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: 4 KB. Use UFget(174) or UFget('HB/impcol_d') in MATLAB.
  • download in Matrix Market format, file size: 5 KB.
  • download in Rutherford/Boeing format, file size: 4 KB.

    Matrix properties
    number of rows425
    number of columns425
    nonzeros1,255
    structural full rank?yes
    structural rank425
    # of blocks from dmperm321
    # strongly connected comp.3
    explicit zero entries84
    nonzero pattern symmetry 6%
    numeric value symmetry 2%
    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 AMD6,158
    Cholesky flop count1.5e+05
    nnz(L+U), no partial pivoting, with AMD11,891
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,796
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,419

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 84 explicit zero entries.

    SVD-based statistics:
    norm(A)10.1813
    min(svd(A))0.00493873
    cond(A)2061.52
    rank(A)425
    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_d 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.