Matrix: NYPA/Maragal_7

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

NYPA/Maragal_7 graph
(bipartite graph drawing)

NYPA/Maragal_7 dmperm of NYPA/Maragal_7
scc of NYPA/Maragal_7

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  • Matrix group: NYPA
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(1890) or UFget('NYPA/Maragal_7') in MATLAB.
  • download in Matrix Market format, file size: 8 MB.
  • download in Rutherford/Boeing format, file size: 7 MB.

    Matrix properties
    number of rows46,845
    number of columns26,564
    structural full rank?no
    structural rank25,866
    # of blocks from dmperm1,294
    # strongly connected comp.41
    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 46845-by-1


    rank deficient (rank(A) < sprank(A) < size(A,2))
    sprank: 25866 columns: 26564                    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD241,876,349
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD232,203,788

    SVD-based statistics:
    null space dimension5,721
    full numerical rank?no
    singular value gap1.12841e+08

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

    NYPA/Maragal_7 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.