Matrix: HB/west0497

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

HB/west0497 graph HB/west0497 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0497 dmperm of HB/west0497
scc of HB/west0497

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 11 KB. Use UFget(268) or UFget('HB/west0497') in MATLAB.
  • download in Matrix Market format, file size: 11 KB.
  • download in Rutherford/Boeing format, file size: 10 KB.

    Matrix properties
    number of rows497
    number of columns497
    nonzeros1,721
    structural full rank?yes
    structural rank497
    # of blocks from dmperm294
    # strongly connected comp.2
    explicit zero entries6
    nonzero pattern symmetry 1%
    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 AMD7,671
    Cholesky flop count2.6e+05
    nnz(L+U), no partial pivoting, with AMD14,845
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,965
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD6,758

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6 explicit zero entries.

    SVD-based statistics:
    norm(A)689849
    min(svd(A))1.49299e-06
    cond(A)4.62057e+11
    rank(A)497
    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/west0497 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.