Matrix: LeGresley/LeGresley_87936

Description: Power flow analysis of an electrical grid

LeGresley/LeGresley_87936 graph LeGresley/LeGresley_87936 graph
(bipartite graph drawing) (graph drawing of A+A')

LeGresley/LeGresley_87936 dmperm of LeGresley/LeGresley_87936
scc of LeGresley/LeGresley_87936

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  • Matrix group: LeGresley
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  • download as a MATLAB mat-file, file size: 6 MB. Use UFget(2657) or UFget('LeGresley/LeGresley_87936') in MATLAB.
  • download in Matrix Market format, file size: 8 MB.
  • download in Rutherford/Boeing format, file size: 7 MB.

    Matrix properties
    number of rows87,936
    number of columns87,936
    nonzeros593,276
    structural full rank?yes
    structural rank87,936
    # of blocks from dmperm3,024
    # strongly connected comp.2,114
    explicit zero entries0
    nonzero pattern symmetry 98%
    numeric value symmetry 3%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. LeGresley
    editorT. Davis
    date2013
    kindpower network problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 87936-by-1

    Notes:

    Power flow analyses of electrical grids.           
Submitted by Patrick LeGresley, Stanford, July 2013

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD601,647
    Cholesky flop count1.2e+07
    nnz(L+U), no partial pivoting, with AMD1,115,358
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,147,286
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,392,260

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 04-Jun-2015.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.