Matrix: Mallya/lhr07

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

Mallya/lhr07 graph Mallya/lhr07 graph
(bipartite graph drawing) (graph drawing of A+A')

Mallya/lhr07 dmperm of Mallya/lhr07
scc of Mallya/lhr07

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(738) or UFget('Mallya/lhr07') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows7,337
    number of columns7,337
    structural full rank?yes
    structural rank7,337
    # of blocks from dmperm676
    # strongly connected comp.31
    explicit zero entries1,848
    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 7337-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,655,624
    Cholesky flop count1.1e+10
    nnz(L+U), no partial pivoting, with AMD11,303,911
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD260,245
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD618,397

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1848 explicit zero entries.

    SVD-based statistics:
    null space dimension22
    full numerical rank?no
    singular value gap6905.46

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

    Mallya/lhr07 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.