Matrix: NYPA/Maragal_3

Description: Rank deficient least squares problem, D. Maragal, NY Power Authority

NYPA/Maragal_3 graph
(bipartite graph drawing)

NYPA/Maragal_3 dmperm of NYPA/Maragal_3
scc of NYPA/Maragal_3

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  • Matrix group: NYPA
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  • download as a MATLAB mat-file, file size: 81 KB. Use UFget(1886) or UFget('NYPA/Maragal_3') in MATLAB.
  • download in Matrix Market format, file size: 120 KB.
  • download in Rutherford/Boeing format, file size: 108 KB.

    Matrix properties
    number of rows1,690
    number of columns860
    structural full rank?no
    structural rank765
    # of blocks from dmperm35
    # strongly connected comp.11
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorD. Maragal
    editorT. Davis
    kindleast squares problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 1690-by-1


    rank deficient (rank(A) < sprank(A) < size(A,2))
    rank: 613 sprank: 765 columns: 860              

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD380,210
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD286,936

    SVD-based statistics:
    null space dimension247
    full numerical rank?no
    singular value gap3.58349e+12

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

    NYPA/Maragal_3 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.