• 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/nsir
  • Description: LP sequence: nsir1 and nsir2
  • download as a MATLAB mat-file, file size: 685 KB. Use SJget(457) or SJget('Meszaros/nsir') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 661 KB.

    Meszaros/nsir

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

    Meszaros/nsir

    dmperm of Meszaros/nsir

    scc of Meszaros/nsir

    Matrix properties (click for a legend)  
    number of rows4,453
    number of columns10,057
    structural full rank?yes
    structural rank4,453
    numerical rank 4,391
    dimension of the numerical null space5,666
    numerical rank / min(size(A))0.98608
    Euclidean norm of A 1.0079e+007
    calculated singular value # 43911.8879e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.8733e-005
    calculated singular value # 43921.8457e-005
    gap in the singular values at the numerical rank:
    singular value # 4391 / singular value # 4392
    1.0229
    calculated condition number1.9997e+012
    condest-2
    nonzeros154,939
    # of blocks from dmperm4
    # strongly connected comp.4
    entries not in dmperm blocks1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2004
    kindlinear programming problem sequence
    2D/3D problem?no
    SJid457
    UFid1,821

    Additional fieldssize and type
    Acell 2-by-1
    bcell 2-by-1
    ccell 2-by-1
    locell 2-by-1
    hicell 2-by-1
    z0cell 2-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 LU3,110,929 2,330,503 3,110,929
    nnz(R) for QR, upper bound nnz(U) for LU379,177 325,885 379,177

    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.