Matrix: Zitney/extr1b

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

Zitney/extr1b graph Zitney/extr1b graph
(bipartite graph drawing) (graph drawing of A+A')

Zitney/extr1b dmperm of Zitney/extr1b

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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1535) or UFget('Zitney/extr1b') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows2,836
    number of columns2,836
    structural full rank?yes
    structural rank2,836
    # of blocks from dmperm869
    # strongly connected comp.1
    explicit zero entries439
    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 2836-by-2836
    Acell 44-by-1
    Zeroscell 44-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 AMD530,459
    Cholesky flop count3.0e+08
    nnz(L+U), no partial pivoting, with AMD1,058,082
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,020
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD29,890

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 439 explicit zero entries.

    SVD-based statistics:
    null space dimension1
    full numerical rank?no
    singular value gap2.72674

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

    Zitney/extr1b 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.