Matrix: Gupta/gupta3

Description: Linear programming matrix (A*A'), Anshul Gupta, anshul@watson.ibm.com

Gupta/gupta3 graph
(undirected graph drawing)


Gupta/gupta3

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  • Matrix group: Gupta
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  • download as a MATLAB mat-file, file size: 8 MB. Use UFget(538) or UFget('Gupta/gupta3') in MATLAB.
  • download in Matrix Market format, file size: 9 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,448,835
    Cholesky flop count2.2e+09
    nnz(L+U), no partial pivoting, with AMD10,880,887
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD40,166,044
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD140,341,980

    SVD-based statistics:
    norm(A)1540.61
    min(svd(A))2.0866e-33
    cond(A)7.38336e+35
    rank(A)2,881
    sprank(A)-rank(A)13,902
    null space dimension13,902
    full numerical rank?no
    singular value gap7.3157e+07

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Gupta/gupta3 svd

    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.