Matrix: Andrianov/net75

Description: net75 matrix from Alexander Andrianov, SAS Institute Inc.

Andrianov/net75 graph
(undirected graph drawing)


Andrianov/net75 dmperm of Andrianov/net75

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  • Matrix group: Andrianov
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1392) or UFget('Andrianov/net75') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 766 KB.

    Matrix properties
    number of rows23,120
    number of columns23,120
    nonzeros1,489,200
    structural full rank?yes
    structural rank23,120
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Andrianov
    editorT. Davis
    date2006
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD21,359,951
    Cholesky flop count5.6e+10
    nnz(L+U), no partial pivoting, with AMD42,696,782
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD65,795,462
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD116,259,320

    SVD-based statistics:
    norm(A)108.913
    min(svd(A))3.51136e-250
    cond(A)3.10174e+251
    rank(A)21,008
    sprank(A)-rank(A)2,112
    null space dimension2,112
    full numerical rank?no
    singular value gap7.04312e+12

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

    Andrianov/net75 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.