Matrix: Mallya/lhr10

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

Mallya/lhr10 graph Mallya/lhr10 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr10 dmperm of Mallya/lhr10
scc of Mallya/lhr10

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(740) or UFget('Mallya/lhr10') 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
    structural full rank?yes
    structural rank10,672
    # of blocks from dmperm912
    # strongly connected comp.31
    explicit zero entries4,238
    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 10672-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,704,951
    Cholesky flop count3.9e+10
    nnz(L+U), no partial pivoting, with AMD25,399,230
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD352,322
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD853,038

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4238 explicit zero entries.

    SVD-based statistics:
    null space dimension70
    full numerical rank?no
    singular value gap482.701

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

    Mallya/lhr10 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.