Matrix: Zitney/extr1

Description: Chemical process separation, Steve Zitney, Cray Research

Zitney/extr1 graph Zitney/extr1 graph
(bipartite graph drawing) (graph drawing of A+A')

Zitney/extr1 dmperm of Zitney/extr1

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  • Matrix group: Zitney
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  • download as a MATLAB mat-file, file size: 61 KB. Use UFget(836) or UFget('Zitney/extr1') in MATLAB.
  • download in Matrix Market format, file size: 81 KB.
  • download in Rutherford/Boeing format, file size: 77 KB.

    Matrix properties
    number of rows2,837
    number of columns2,837
    structural full rank?yes
    structural rank2,837
    # of blocks from dmperm880
    # strongly connected comp.1
    explicit zero entries440
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Zitney
    editorT. Davis
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD543,640
    Cholesky flop count3.1e+08
    nnz(L+U), no partial pivoting, with AMD1,084,443
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,021
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD29,893

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 440 explicit zero entries.

    SVD-based statistics:
    null space dimension1
    full numerical rank?no
    singular value gap2.72671

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

    Zitney/extr1 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.