Matrix: NYPA/Maragal_4

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

NYPA/Maragal_4 graph
(bipartite graph drawing)


NYPA/Maragal_4 dmperm of NYPA/Maragal_4
scc of NYPA/Maragal_4

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  • Matrix group: NYPA
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  • download as a MATLAB mat-file, file size: 104 KB. Use UFget(1887) or UFget('NYPA/Maragal_4') in MATLAB.
  • download in Matrix Market format, file size: 157 KB.
  • download in Rutherford/Boeing format, file size: 135 KB.

    Matrix properties
    number of rows1,964
    number of columns1,034
    nonzeros26,719
    structural full rank?no
    structural rank995
    # of blocks from dmperm23
    # strongly connected comp.8
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorD. Maragal
    editorT. Davis
    date2008
    kindleast squares problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 1964-by-1

    Notes:

    rank deficient (rank(A) < sprank(A) < size(A,2))
    rank: 801 sprank: 995 columns: 1034             
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD636,722
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD463,389

    SVD-based statistics:
    norm(A)9.48847
    min(svd(A))1.54978e-33
    cond(A)6.12246e+33
    rank(A)801
    sprank(A)-rank(A)194
    null space dimension233
    full numerical rank?no
    singular value gap2.93026e+08

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

    NYPA/Maragal_4 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.