Matrix: HB/west2021

Description: U 15 STAGE COLUMN SECTIONS, ALL SECTIONS RIGOROUS ( CHEM. ENG. )

HB/west2021 graph HB/west2021 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west2021 dmperm of HB/west2021

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 49 KB. Use UFget(272) or UFget('HB/west2021') in MATLAB.
  • download in Matrix Market format, file size: 47 KB.
  • download in Rutherford/Boeing format, file size: 43 KB.

    Matrix properties
    number of rows2,021
    number of columns2,021
    nonzeros7,310
    structural full rank?yes
    structural rank2,021
    # of blocks from dmperm522
    # strongly connected comp.1
    explicit zero entries43
    nonzero pattern symmetry 0%
    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 AMD167,878
    Cholesky flop count4.8e+07
    nnz(L+U), no partial pivoting, with AMD333,735
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,675
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD19,676

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 43 explicit zero entries.

    SVD-based statistics:
    norm(A)319086
    min(svd(A))2.44767e-07
    cond(A)1.30363e+12
    rank(A)2,021
    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/west2021 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.