Matrix: Mallya/lhr14

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

Mallya/lhr14 graph Mallya/lhr14 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr14 dmperm of Mallya/lhr14
scc of Mallya/lhr14

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(744) or UFget('Mallya/lhr14') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows14,270
    number of columns14,270
    structural full rank?yes
    structural rank14,270
    # of blocks from dmperm1,564
    # strongly connected comp.31
    explicit zero entries2,108
    nonzero pattern symmetry 1%
    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 14270-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD21,108,917
    Cholesky flop count8.5e+10
    nnz(L+U), no partial pivoting, with AMD42,203,564
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD650,912
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,338,115

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2108 explicit zero entries.

    SVD-based statistics:
    null space dimension274
    full numerical rank?no
    singular value gap4.86889

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

    Mallya/lhr14 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.