Matrix: HB/west0989

Description: U 7 STAGE COLUMN SECTION, ALL SECTIONS RIGOROUS ( CHEM. ENG. )

HB/west0989 graph HB/west0989 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0989 dmperm of HB/west0989
scc of HB/west0989

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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: 22 KB. Use UFget(270) or UFget('HB/west0989') in MATLAB.
  • download in Matrix Market format, file size: 21 KB.
  • download in Rutherford/Boeing format, file size: 20 KB.

    Matrix properties
    number of rows989
    number of columns989
    nonzeros3,518
    structural full rank?yes
    structural rank989
    # of blocks from dmperm270
    # strongly connected comp.2
    explicit zero entries19
    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 AMD38,100
    Cholesky flop count4.3e+06
    nnz(L+U), no partial pivoting, with AMD75,211
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,614
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD9,236

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 19 explicit zero entries.

    SVD-based statistics:
    norm(A)319127
    min(svd(A))3.23645e-07
    cond(A)9.86043e+11
    rank(A)989
    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/west0989 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.