Matrix: Andrianov/net25

Description: net25 matrix from Alexander Andrianov, SAS Institute Inc.

Andrianov/net25 graph
(undirected graph drawing)


Andrianov/net25 dmperm of Andrianov/net25

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  • Matrix group: Andrianov
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  • download as a MATLAB mat-file, file size: 385 KB. Use UFget(1389) or UFget('Andrianov/net25') in MATLAB.
  • download in Matrix Market format, file size: 435 KB.
  • download in Rutherford/Boeing format, file size: 135 KB.

    Matrix properties
    number of rows9,520
    number of columns9,520
    nonzeros401,200
    structural full rank?yes
    structural rank9,520
    # 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 AMD1,500,131
    Cholesky flop count6.5e+08
    nnz(L+U), no partial pivoting, with AMD2,990,742
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,248,007
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD18,725,968

    SVD-based statistics:
    norm(A)70.4261
    min(svd(A))4.31323e-68
    cond(A)1.63279e+69
    rank(A)9,058
    sprank(A)-rank(A)462
    null space dimension462
    full numerical rank?no
    singular value gap2.69982e+13

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

    Andrianov/net25 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.