Matrix: Norris/lung1

Description: S.Norris, Univ. Auckland. Coupled temp,water vapour transport in lung

Norris/lung1 graph Norris/lung1 graph
(bipartite graph drawing) (graph drawing of A+A')

Norris/lung1 dmperm of Norris/lung1

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  • Matrix group: Norris
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  • download as a MATLAB mat-file, file size: 30 KB. Use UFget(893) or UFget('Norris/lung1') in MATLAB.
  • download in Matrix Market format, file size: 52 KB.
  • download in Rutherford/Boeing format, file size: 42 KB.

    Matrix properties
    number of rows1,650
    number of columns1,650
    structural full rank?yes
    structural rank1,650
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetry 57%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Norris
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,771
    Cholesky flop count2.1e+04
    nnz(L+U), no partial pivoting, with AMD9,892
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,080
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD9,751

    SVD-based statistics:
    null space dimension101
    full numerical rank?no
    singular value gap1.0106

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

    Norris/lung1 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.