Matrix: Mallya/lhr07c

Description: Light hydrocarbon recovery, corrected version of LHR07

Mallya/lhr07c graph Mallya/lhr07c graph
(bipartite graph drawing) (graph drawing of A+A')


Mallya/lhr07c dmperm of Mallya/lhr07c
scc of Mallya/lhr07c

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  • Matrix group: Mallya
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(739) or UFget('Mallya/lhr07c') 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
    nonzeros156,508
    structural full rank?yes
    structural rank7,337
    # of blocks from dmperm672
    # strongly connected comp.31
    explicit zero entries0
    nonzero pattern symmetry 2%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1997
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,667,528
    Cholesky flop count1.1e+10
    nnz(L+U), no partial pivoting, with AMD11,327,719
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD269,468
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD603,211

    SVD-based statistics:
    norm(A)18.3146
    min(svd(A))7.65545e-13
    cond(A)2.39236e+13
    rank(A)7,336
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap5128.12

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

    Mallya/lhr07c 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.