Matrix: NYPA/Maragal_1

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

NYPA/Maragal_1 graph
(bipartite graph drawing)


NYPA/Maragal_1

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: NYPA
  • Click here for a description of the NYPA group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 2 KB. Use UFget(1884) or UFget('NYPA/Maragal_1') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Matrix properties
    number of rows32
    number of columns14
    nonzeros234
    structural full rank?yes
    structural rank14
    # of blocks from dmperm1
    # strongly connected comp.1
    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 32-by-1

    Notes:

    rank deficient (rank(A) < sprank(A) == size(A,2))
    rank: 10 sprank: 14 columns: 14                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD329
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD105

    SVD-based statistics:
    norm(A)5.93273
    min(svd(A))1.27953e-16
    cond(A)4.63664e+16
    rank(A)10
    sprank(A)-rank(A)4
    null space dimension4
    full numerical rank?no
    singular value gap1.46088e+15

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

    NYPA/Maragal_1 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.