Matrix: LeGresley/LeGresley_2508

Description: Power flow analysis of an electrical grid

LeGresley/LeGresley_2508 graph LeGresley/LeGresley_2508 graph
(bipartite graph drawing) (graph drawing of A+A')

LeGresley/LeGresley_2508 dmperm of LeGresley/LeGresley_2508

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  • Matrix group: LeGresley
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  • download as a MATLAB mat-file, file size: 174 KB. Use UFget(2655) or UFget('LeGresley/LeGresley_2508') in MATLAB.
  • download in Matrix Market format, file size: 205 KB.
  • download in Rutherford/Boeing format, file size: 194 KB.

    Matrix properties
    number of rows2,508
    number of columns2,508
    nonzeros16,727
    structural full rank?yes
    structural rank2,508
    # of blocks from dmperm381
    # strongly connected comp.381
    explicit zero entries0
    nonzero pattern symmetry 84%
    numeric value symmetry 26%
    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 2508-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 AMD17,515
    Cholesky flop count1.7e+05
    nnz(L+U), no partial pivoting, with AMD32,522
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD26,838
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD66,887

    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.