Matrix: HB/west0381

Description: U MULTIPLY FED COLUMN, 24 COMPONENTS ( CHEM. ENG. FROM WESTERBERG )

HB/west0381 graph HB/west0381 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0381 dmperm of HB/west0381

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 10 KB. Use UFget(266) or UFget('HB/west0381') in MATLAB.
  • download in Matrix Market format, file size: 11 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    Matrix properties
    number of rows381
    number of columns381
    nonzeros2,134
    structural full rank?yes
    structural rank381
    # of blocks from dmperm6
    # strongly connected comp.1
    explicit zero entries23
    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 AMD17,262
    Cholesky flop count1.5e+06
    nnz(L+U), no partial pivoting, with AMD34,143
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD9,653
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD18,643

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 23 explicit zero entries.

    SVD-based statistics:
    norm(A)1715.33
    min(svd(A))0.00136636
    cond(A)1.25539e+06
    rank(A)381
    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/west0381 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.