• 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/model2
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 21 KB. Use SJget(328) or SJget('Meszaros/model2') in MATLAB.
  • download in Matrix Market format, file size: 30 KB.
  • download in Rutherford/Boeing format, file size: 19 KB.

    Meszaros/model2

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

    Meszaros/model2

    dmperm of Meszaros/model2

    scc of Meszaros/model2

    Matrix properties (click for a legend)  
    number of rows379
    number of columns1,321
    structural full rank?yes
    structural rank379
    numerical rank 377
    dimension of the numerical null space944
    numerical rank / min(size(A))0.99472
    Euclidean norm of A 2327.3
    calculated singular value # 3770.0048111
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.0072e-010
    calculated singular value # 3787.5549e-016
    gap in the singular values at the numerical rank:
    singular value # 377 / singular value # 378
    6.3682e+012
    calculated condition number6.3306e+018
    condest-2
    nonzeros7,607
    # of blocks from dmperm13
    # strongly connected comp.2
    entries not in dmperm blocks17
    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
    SJid328
    UFid1,723

    Additional fieldssize and type
    bfull 379-by-1
    cfull 1321-by-1
    lofull 1321-by-1
    hifull 1321-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 DMPERM+
    nnz(V) for QR, upper bound nnz(L) for LU106,145 90,328 106,111
    nnz(R) for QR, upper bound nnz(U) for LU13,159 13,098 12,858

    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.