Matrix: Mallya/lhr10c

Description: Light hydrocarbon recovery, corrected version of LHR10

Mallya/lhr10c graph Mallya/lhr10c graph
(bipartite graph drawing) (graph drawing of A+A')


Mallya/lhr10c dmperm of Mallya/lhr10c
scc of Mallya/lhr10c

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(741) or UFget('Mallya/lhr10c') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows10,672
    number of columns10,672
    nonzeros232,633
    structural full rank?yes
    structural rank10,672
    # of blocks from dmperm908
    # strongly connected comp.31
    explicit zero entries0
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1997
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD11,914,369
    Cholesky flop count3.5e+10
    nnz(L+U), no partial pivoting, with AMD23,818,066
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD370,538
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD847,036

    SVD-based statistics:
    norm(A)18.9066
    min(svd(A))2.55817e-13
    cond(A)7.39067e+13
    rank(A)10,670
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap55.0044

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Mallya/lhr10c 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.