Matrix: Andrianov/fxm4_6

Description: fxm4_6 matrix from Alexander Andrianov, SAS Institute Inc.

Andrianov/fxm4_6 graph
(undirected graph drawing)


Andrianov/fxm4_6

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  • Matrix group: Andrianov
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  • download as a MATLAB mat-file, file size: 369 KB. Use UFget(1381) or UFget('Andrianov/fxm4_6') in MATLAB.
  • download in Matrix Market format, file size: 602 KB.
  • download in Rutherford/Boeing format, file size: 233 KB.

    Matrix properties
    number of rows18,892
    number of columns18,892
    nonzeros497,844
    structural full rank?yes
    structural rank18,892
    # 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. Andrianov
    editorT. Davis
    date2006
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD364,975
    Cholesky flop count1.3e+07
    nnz(L+U), no partial pivoting, with AMD711,058
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD619,679
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,441,462

    SVD-based statistics:
    norm(A)228.084
    min(svd(A))1.90802e-63
    cond(A)1.19539e+65
    rank(A)14,569
    sprank(A)-rank(A)4,323
    null space dimension4,323
    full numerical rank?no
    singular value gap2.86106e+09

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Andrianov/fxm4_6 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.