Matrix: HB/west0167

Description: U RIGOROUS MODEL OF A CHEMICAL STAGE (CHEM.ENG. FROM A. WESTERBERG)

HB/west0167 graph HB/west0167 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0167 dmperm of HB/west0167

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(265) or UFget('HB/west0167') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 4 KB.

    Matrix properties
    number of rows167
    number of columns167
    nonzeros506
    structural full rank?yes
    structural rank167
    # of blocks from dmperm91
    # strongly connected comp.1
    explicit zero entries1
    nonzero pattern symmetry 2%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Westerberg
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,039
    Cholesky flop count3.6e+04
    nnz(L+U), no partial pivoting, with AMD3,911
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD470
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,049

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1 explicit zero entries.

    SVD-based statistics:
    norm(A)320116
    min(svd(A))6.68968e-06
    cond(A)4.78522e+10
    rank(A)167
    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/west0167 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.