• UF Sparse Matrix Collection
  • Matrix group: Gupta
  • Click here for a description of the Gupta group.
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  • Matrix: Gupta/gupta3
  • Description: Linear programming matrix (A*A'), Anshul Gupta, anshul@watson.ibm.com
  • download as a MATLAB mat-file, file size: 8 MB. Use UFget(538) or UFget('Gupta/gupta3') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Gupta/gupta3

    Gupta/gupta3 graph

    Matrix properties
    number of rows16,783
    number of columns16,783
    nonzeros9,323,427
    structural full rank?yes
    structural rank16,783
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Gupta
    editorT. Davis
    date1996
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))5,448,835 9,794,634
    Cholesky flop count2.2e+09 5.9e+09
    nnz(L+U), no partial pivoting10,880,887 19,572,485
    nnz(V) for QR, upper bound nnz(L) for LU35,581,021 21,363,592
    nnz(R) for QR, upper bound nnz(U) for LU139,526,072 140,829,703

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.