Matrix: Zitney/hydr1c

Description: Chemical process separation sequence, S. Zitney, Cray Research

Zitney/hydr1c graph Zitney/hydr1c graph
(bipartite graph drawing) (graph drawing of A+A')

Zitney/hydr1c dmperm of Zitney/hydr1c

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  • Matrix group: Zitney
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  • download as a MATLAB mat-file, file size: 9 MB. Use UFget(1536) or UFget('Zitney/hydr1c') in MATLAB.
  • download in Matrix Market format, file size: 13 MB.
  • download in Rutherford/Boeing format, file size: 12 MB.

    Matrix properties
    number of rows5,308
    number of columns5,308
    structural full rank?yes
    structural rank5,308
    # of blocks from dmperm1,096
    # strongly connected comp.1
    explicit zero entries1,160
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Zitney
    editorS. Hadfield, T. Davis
    kindchemical process simulation problem sequence
    2D/3D problem?no

    Additional fieldssize and type
    Ssparse 5308-by-5308
    Acell 76-by-1
    Zeroscell 76-by-1


    aux.A{i}: ith matrix in sequence. aux.Zeros{i}: binary pattern of explicit
    zero entries provided in original data.  aux.S = union of all patterns.   

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,934,799
    Cholesky flop count2.1e+09
    nnz(L+U), no partial pivoting, with AMD3,864,290
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD29,269
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD73,802

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1160 explicit zero entries.

    SVD-based statistics:
    null space dimension117
    full numerical rank?no
    singular value gap1.03576

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

    Zitney/hydr1c 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.