Matrix: HB/west0156

Description: U SIMPLE CHEMICAL PLANT MODEL ( CHEM. ENG. FROM A. WESTERBERG )

HB/west0156 graph HB/west0156 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0156 dmperm of HB/west0156

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(264) or UFget('HB/west0156') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows156
    number of columns156
    nonzeros362
    structural full rank?yes
    structural rank156
    # of blocks from dmperm134
    # strongly connected comp.1
    explicit zero entries9
    nonzero pattern symmetry 0%
    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 AMD1,944
    Cholesky flop count4.2e+04
    nnz(L+U), no partial pivoting, with AMD3,732
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD348
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD710

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 9 explicit zero entries.

    SVD-based statistics:
    norm(A)1.86737e+07
    min(svd(A))8.10076e-12
    cond(A)2.30517e+18
    rank(A)154
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap131189

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    HB/west0156 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.