• SJSU Singular Matrix Database
  • 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

  • Matrix: NYPA/Maragal_3
  • Description: Rank deficient least squares problem, D. Maragal, NY Power Authority
  • download as a MATLAB mat-file, file size: 88 KB. Use SJget(524) or SJget('NYPA/Maragal_3') in MATLAB.
  • download in Matrix Market format, file size: 121 KB.
  • download in Rutherford/Boeing format, file size: 110 KB.


    Routine svd from Matlab (R2008a) used to calculate the singular values.


    dmperm of NYPA/Maragal_3

    scc of NYPA/Maragal_3

    Matrix properties (click for a legend)  
    number of rows1,690
    number of columns860
    structural full rank?no
    structural rank765
    numerical rank 613
    dimension of the numerical null space247
    numerical rank / min(size(A))0.71279
    Euclidean norm of A 12.644
    calculated singular value # 6130.011515
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 6143.9706e-015
    gap in the singular values at the numerical rank:
    singular value # 613 / singular value # 614
    calculated condition number3.5818e+035
    # 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:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU394,148 185,977
    nnz(R) for QR, upper bound nnz(U) for LU234,994 234,443

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.