• 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_1
  • Description: Rank deficient least squares problem, D. Maragal, NY Power Authority
  • download as a MATLAB mat-file, file size: 2 KB. Use SJget(522) or SJget('NYPA/Maragal_1') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.


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


    Matrix properties (click for a legend)  
    number of rows32
    number of columns14
    structural full rank?yes
    structural rank14
    numerical rank 10
    dimension of the numerical null space4
    numerical rank / min(size(A))0.71429
    Euclidean norm of A 5.9327
    calculated singular value # 100.79456
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 115.3491e-016
    gap in the singular values at the numerical rank:
    singular value # 10 / singular value # 11
    calculated condition number3.6101e+016
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    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 32-by-1


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

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU329 329
    nnz(R) for QR, upper bound nnz(U) for LU105 105

    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.