Matrix: Mallya/lhr11

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

Mallya/lhr11 graph Mallya/lhr11 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr11 dmperm of Mallya/lhr11
scc of Mallya/lhr11

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(742) or UFget('Mallya/lhr11') 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
    structural full rank?yes
    structural rank10,964
    # of blocks from dmperm1,200
    # strongly connected comp.31
    explicit zero entries1,935
    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 10964-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,384,800
    Cholesky flop count3.6e+10
    nnz(L+U), no partial pivoting, with AMD24,758,636
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD411,929
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD964,310

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1935 explicit zero entries.

    SVD-based statistics:
    null space dimension154
    full numerical rank?no
    singular value gap5.06444

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

    Mallya/lhr11 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.