Matrix: Andrianov/net50

Description: net50 matrix from Alexander Andrianov, SAS Institute Inc.

Andrianov/net50 graph
(undirected graph drawing)

Andrianov/net50 dmperm of Andrianov/net50

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  • Matrix group: Andrianov
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  • download as a MATLAB mat-file, file size: 946 KB. Use UFget(1391) or UFget('Andrianov/net50') in MATLAB.
  • download in Matrix Market format, file size: 1008 KB.
  • download in Rutherford/Boeing format, file size: 536 KB.

    Matrix properties
    number of rows16,320
    number of columns16,320
    structural full rank?yes
    structural rank16,320
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD10,550,331
    Cholesky flop count1.9e+10
    nnz(L+U), no partial pivoting, with AMD21,084,342
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD30,563,380
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD56,645,803

    SVD-based statistics:
    null space dimension1,287
    full numerical rank?no
    singular value gap1.12814e+13

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

    Andrianov/net50 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.