Matrix: Mallya/lhr34

Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr

Mallya/lhr34 graph Mallya/lhr34 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr34 dmperm of Mallya/lhr34
scc of Mallya/lhr34

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(748) or UFget('Mallya/lhr34') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows35,152
    number of columns35,152
    structural full rank?yes
    structural rank35,152
    # of blocks from dmperm7,985
    # strongly connected comp.61
    explicit zero entries17,042
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 35152-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD72,406,448
    Cholesky flop count3.8e+11
    nnz(L+U), no partial pivoting, with AMD144,777,744
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,523,434
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,411,710

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17042 explicit zero entries.

    SVD-based statistics:
    null space dimension786
    full numerical rank?no
    singular value gap16.5532

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

    Mallya/lhr34 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.