Matrix: Mallya/lhr17

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

Mallya/lhr17 graph Mallya/lhr17 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr17 dmperm of Mallya/lhr17
scc of Mallya/lhr17

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(746) or UFget('Mallya/lhr17') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows17,576
    number of columns17,576
    structural full rank?yes
    structural rank17,576
    # of blocks from dmperm1,807
    # strongly connected comp.31
    explicit zero entries2,214
    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 17576-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD33,691,522
    Cholesky flop count1.7e+11
    nnz(L+U), no partial pivoting, with AMD67,365,468
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD812,224
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,670,800

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2214 explicit zero entries.

    SVD-based statistics:
    null space dimension394
    full numerical rank?no
    singular value gap4.87732

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

    Mallya/lhr17 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.