Matrix: Mallya/lhr04

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

Mallya/lhr04 graph Mallya/lhr04 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr04 dmperm of Mallya/lhr04
scc of Mallya/lhr04

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 650 KB. Use UFget(736) or UFget('Mallya/lhr04') in MATLAB.
  • download in Matrix Market format, file size: 777 KB.
  • download in Rutherford/Boeing format, file size: 667 KB.

    Matrix properties
    number of rows4,101
    number of columns4,101
    structural full rank?yes
    structural rank4,101
    # of blocks from dmperm443
    # strongly connected comp.31
    explicit zero entries1,625
    nonzero pattern symmetry 2%
    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 4101-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,867,599
    Cholesky flop count2.0e+09
    nnz(L+U), no partial pivoting, with AMD3,731,097
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD135,543
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD333,874

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1625 explicit zero entries.

    SVD-based statistics:
    null space dimension5
    full numerical rank?no
    singular value gap41914.2

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

    Mallya/lhr04 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.