• SJSU Singular Matrix Database
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups

  • Matrix: Meszaros/pf2177
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 83 KB. Use SJget(507) or SJget('Meszaros/pf2177') in MATLAB.
  • download in Matrix Market format, file size: 111 KB.
  • download in Rutherford/Boeing format, file size: 93 KB.


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


    scc of Meszaros/pf2177

    Matrix properties (click for a legend)  
    number of rows9,728
    number of columns10,178
    structural full rank?yes
    structural rank9,728
    numerical rank 9,662
    dimension of the numerical null space516
    numerical rank / min(size(A))0.99322
    Euclidean norm of A 9.7513
    calculated singular value # 96620.18432
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 96631.3285e-014
    gap in the singular values at the numerical rank:
    singular value # 9662 / singular value # 9663
    calculated condition number9.9273e+015
    # of blocks from dmperm1
    # strongly connected comp.271
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    editorC. Meszaros
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 9728-by-1
    cfull 10178-by-1
    lofull 10178-by-1
    hifull 10178-by-1
    z0full 1-by-1


    Converted to standard form via Resende and Veiga's mpsrd:
    minimize c'*x, subject to A*x=b and lo <= x <= hi        

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU1,032,468 952,289
    nnz(R) for QR, upper bound nnz(U) for LU12,386,025 9,767,874

    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.