Matrix: McRae/ecology2

Description: circuitscape: circuit theory applied to animal/gene flow. B. McRae, UCSB

McRae/ecology2 graph
(undirected graph drawing)


McRae/ecology2

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  • Matrix group: McRae
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  • download as a MATLAB mat-file, file size: 8 MB. Use UFget(1883) or UFget('McRae/ecology2') in MATLAB.
  • download in Matrix Market format, file size: 9 MB.
  • download in Rutherford/Boeing format, file size: 7 MB.

    Matrix properties
    number of rows999,999
    number of columns999,999
    nonzeros4,995,991
    structural full rank?yes
    structural rank999,999
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorB. McRae
    editorT. Davis
    date2008
    kind2D/3D problem
    2D/3D problem?yes

    Notes:

    Landscape ecology problem, using electrical network theory to model 
    animal movement an gene flow.  The McRae/ecology2 matrix comes from 
    a 2D, 1000-by-1000 mesh (5 pt stencil).  It is a symmetric positive 
    definite matrix.  Source: Brad McRae, National Center for Ecological
    Analysis and Synthesis Santa Barbara, CA.                           
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD45,752,523
    Cholesky flop count2.0e+10
    nnz(L+U), no partial pivoting, with AMD90,505,047
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD69,455,113
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD128,056,728

    Maintained by Tim Davis, last updated 01-Apr-2011.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.