Matrix: HB/impcol_b

Description: UNSYMMETRIC MATRIX - CAVETT'S PROCESS (CHEM ENG),1982

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


HB/impcol_b dmperm of HB/impcol_b

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 2 KB. Use UFget(172) or UFget('HB/impcol_b') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Matrix properties
    number of rows59
    number of columns59
    nonzeros271
    structural full rank?yes
    structural rank59
    # of blocks from dmperm19
    # strongly connected comp.1
    explicit zero entries41
    nonzero pattern symmetry 9%
    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 AMD561
    Cholesky flop count7.2e+03
    nnz(L+U), no partial pivoting, with AMD1,063
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD235
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD468

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 41 explicit zero entries.

    SVD-based statistics:
    norm(A)8.6395
    min(svd(A))5.28815e-05
    cond(A)163375
    rank(A)59
    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_b 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.