Matrix: LeGresley/LeGresley_4908

Description: Power flow analysis of an electrical grid

LeGresley/LeGresley_4908 graph LeGresley/LeGresley_4908 graph
(bipartite graph drawing) (graph drawing of A+A')

LeGresley/LeGresley_4908 dmperm of LeGresley/LeGresley_4908
scc of LeGresley/LeGresley_4908

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: LeGresley
  • Click here for a description of the LeGresley group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 340 KB. Use UFget(2656) or UFget('LeGresley/LeGresley_4908') in MATLAB.
  • download in Matrix Market format, file size: 420 KB.
  • download in Rutherford/Boeing format, file size: 401 KB.

    Matrix properties
    number of rows4,908
    number of columns4,908
    nonzeros30,482
    structural full rank?yes
    structural rank4,908
    # of blocks from dmperm193
    # strongly connected comp.192
    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 4908-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 AMD21,322
    Cholesky flop count1.1e+05
    nnz(L+U), no partial pivoting, with AMD37,736
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD31,457
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD63,491

    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.