• 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/nemspmm1
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 174 KB. Use SJget(411) or SJget('Meszaros/nemspmm1') in MATLAB.
  • download in Matrix Market format, file size: 218 KB.
  • download in Rutherford/Boeing format, file size: 158 KB.

    Meszaros/nemspmm1

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Meszaros/nemspmm1

    dmperm of Meszaros/nemspmm1

    scc of Meszaros/nemspmm1

    Matrix properties (click for a legend)  
    number of rows2,372
    number of columns8,903
    structural full rank?no
    structural rank2,362
    numerical rank 2,362
    dimension of the numerical null space6,541
    numerical rank / min(size(A))0.99578
    Euclidean norm of A 9383.8
    calculated singular value # 23620.028776
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.6194e-008
    calculated singular value # 23631.1526e-014
    gap in the singular values at the numerical rank:
    singular value # 2362 / singular value # 2363
    2.4965e+012
    calculated condition number1.1824e+020
    condest-2
    nonzeros55,867
    # of blocks from dmperm35
    # strongly connected comp.32
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2004
    kindlinear programming problem
    2D/3D problem?no
    SJid411
    UFid1,736

    Additional fieldssize and type
    bfull 2372-by-1
    cfull 8903-by-1
    lofull 8903-by-1
    hifull 8903-by-1
    z0full 1-by-1

    Notes:

    http://www.sztaki.hu/~meszaros/public_ftp/lptestset      
    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 LU2,138,194 1,170,547
    nnz(R) for QR, upper bound nnz(U) for LU122,356 118,489

    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.