Matrix: LPnetlib/lpi_forest6

Description: Netlib LP problem forest6: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lpi_forest6 graph
(bipartite graph drawing)


LPnetlib/lpi_forest6

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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(714) or UFget('LPnetlib/lpi_forest6') in MATLAB.
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    Matrix properties
    number of rows66
    number of columns131
    nonzeros246
    structural full rank?yes
    structural rank66
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorH. Greenberg
    editorJ. Chinneck
    date1993
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 66-by-1
    cfull 131-by-1
    lofull 131-by-1
    hifull 131-by-1
    z0full 1-by-1

    Notes:

    An infeasible Netlib LP problem, in lp/infeas.  For more information        
    send email to netlib@ornl.gov with the message:                             
                                                                                
    	send index from lp                                                         
    	send readme from lp/infeas                                                 
                                                                                
    The lp/infeas directory contains infeasible linear programming test problems
    collected by John W. Chinneck, Carleton Univ, Ontario Canada.  The following
    are relevant excerpts from lp/infeas/readme (by John W. Chinneck):          
                                                                                
    In the following, IIS stands for Irreducible Infeasible Subsystem, a set    
    of constraints which is itself infeasible, but becomes feasible when any    
    one member is removed.  Isolating an IIS from within the larger set of      
    constraints defining the model is one analysis approach.                    
                                                                                
    PROBLEM DESCRIPTION                                                         
    -------------------                                                         
                                                                                
    FOREST6, WOODINFE:  very small problems derived from network-based          
    forestry models.  The IIS in FOREST6 includes most of the rows.             
    WOODINFE is the example problem discussed in detail in Greenberg [1993],    
    and has a very small IIS.  Contributor:  H.J.  Greenberg, University of     
    Colorado at Denver.                                                         
                                                                                
    Name       Rows   Cols   Nonzeros Bounds      Notes                         
    forest6      67     95      270   B                                         
                                                                                
                                                                                
    REFERENCES                                                                  
    ----------                                                                  
                                                                                
    H.J.  Greenberg (1993).  "A Computer-Assisted Analysis System for           
    Mathematical Programming Models and Solutions:  A User's Guide for          
    ANALYZE", Kluwer Academic Publishers, Boston.                               
                                                                                
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD816
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD240

    SVD-based statistics:
    norm(A)2.67148
    min(svd(A))0.867027
    cond(A)3.08119
    rank(A)66
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    LPnetlib/lpi_forest6 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.