Matrix: HB/west0132

Description: U RIGOROUS FLASH UNIT ( CHEM. ENG. FROM A. WESTERBERG )

HB/west0132 graph HB/west0132 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0132 dmperm of HB/west0132
scc of HB/west0132

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  • Matrix group: HB
  • Click here for a description of the HB group.
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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(263) or UFget('HB/west0132') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows132
    number of columns132
    nonzeros413
    structural full rank?yes
    structural rank132
    # of blocks from dmperm56
    # strongly connected comp.2
    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 AMD1,424
    Cholesky flop count2.4e+04
    nnz(L+U), no partial pivoting, with AMD2,716
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD370
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD866

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

    SVD-based statistics:
    norm(A)320116
    min(svd(A))7.61074e-07
    cond(A)4.2061e+11
    rank(A)132
    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/west0132 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.