Matrix: Mallya/lhr11c

Description: Light hydrocarbon recovery, corrected version of LHR11

Mallya/lhr11c graph Mallya/lhr11c graph
(bipartite graph drawing) (graph drawing of A+A')


Mallya/lhr11c dmperm of Mallya/lhr11c
scc of Mallya/lhr11c

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(743) or UFget('Mallya/lhr11c') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows10,964
    number of columns10,964
    nonzeros233,741
    structural full rank?yes
    structural rank10,964
    # of blocks from dmperm1,192
    # 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 AMD12,494,355
    Cholesky flop count3.7e+10
    nnz(L+U), no partial pivoting, with AMD24,977,746
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD425,483
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD963,815

    SVD-based statistics:
    norm(A)19.913
    min(svd(A))5.03005e-14
    cond(A)3.95881e+14
    rank(A)10,961
    sprank(A)-rank(A)3
    null space dimension3
    full numerical rank?no
    singular value gap18.5515

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

    Mallya/lhr11c 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.