Matrix: QLi/crashbasis

Description: MCP; mixed complementarity optimization problem; similar to QLi/majorbasis

QLi/crashbasis graph QLi/crashbasis graph
(bipartite graph drawing) (graph drawing of A+A')


QLi/crashbasis

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: QLi
  • Click here for a description of the QLi group.
  • Click here for a list of all matrices
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  • download as a MATLAB mat-file, file size: 12 MB. Use UFget(1858) or UFget('QLi/crashbasis') in MATLAB.
  • download in Matrix Market format, file size: 9 MB.
  • download in Rutherford/Boeing format, file size: 8 MB.

    Matrix properties
    number of rows160,000
    number of columns160,000
    nonzeros1,750,416
    structural full rank?yes
    structural rank160,000
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 55%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorQ. Li and M. Ferris
    editorT. Davis
    date2007
    kindoptimization problem
    2D/3D problem?no

    Notes:

    QLi/crashbasis and QLi/majorbasis have the same nonzero pattern.  However,
    UMFPACK 5.1 is much slower for majorbasis than for crashbasis, because of 
    the extensive number of denormal floating-point values that occur in      
    majorbasis (they do not occur in crashbasis).                             
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD21,987,956
    Cholesky flop count1.2e+10
    nnz(L+U), no partial pivoting, with AMD43,815,912
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,705,268
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD22,790,462

    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.