Matrix: HB/west0479

Description: U 8 STAGE COLUMN SECTION, ALL SECTIONS RIGOROUS ( CHEM. ENG. )

HB/west0479 graph HB/west0479 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west0479 dmperm of HB/west0479
scc of HB/west0479

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 13 KB. Use UFget(267) or UFget('HB/west0479') in MATLAB.
  • download in Matrix Market format, file size: 12 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    Matrix properties
    number of rows479
    number of columns479
    nonzeros1,888
    structural full rank?yes
    structural rank479
    # of blocks from dmperm166
    # strongly connected comp.2
    explicit zero entries22
    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 AMD14,819
    Cholesky flop count1.1e+06
    nnz(L+U), no partial pivoting, with AMD29,159
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,921
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,539

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 22 explicit zero entries.

    SVD-based statistics:
    norm(A)318952
    min(svd(A))9.80668e-07
    cond(A)3.25239e+11
    rank(A)479
    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/west0479 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.