Matrix: LPnetlib/lp_80bau3b

Description: Netlib LP problem 80bau3b: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_80bau3b graph
(bipartite graph drawing)


LPnetlib/lp_80bau3b dmperm of LPnetlib/lp_80bau3b
scc of LPnetlib/lp_80bau3b

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: LPnetlib
  • Click here for a description of the LPnetlib group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 116 KB. Use UFget(595) or UFget('LPnetlib/lp_80bau3b') in MATLAB.
  • download in Matrix Market format, file size: 117 KB.
  • download in Rutherford/Boeing format, file size: 106 KB.

    Matrix properties
    number of rows2,262
    number of columns12,061
    nonzeros23,264
    structural full rank?yes
    structural rank2,262
    # of blocks from dmperm26
    # strongly connected comp.154
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorW. Kurator, H. Greenberg
    editorR. Fourer
    date
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 2262-by-1
    cfull 12061-by-1
    lofull 12061-by-1
    hifull 12061-by-1
    z0full 1-by-1

    Notes:

    A Netlib LP problem, in lp/data.  For more information                    
    send email to netlib@ornl.gov with the message:                           
                                                                              
    	 send index from lp                                                      
    	 send readme from lp/data                                                
                                                                              
    The following are relevant excerpts from lp/data/readme (by David M. Gay):
                                                                              
    The column and nonzero counts in the PROBLEM SUMMARY TABLE below exclude  
    slack and surplus columns and the right-hand side vector, but include     
    the cost row.  We have omitted other free rows and all but the first      
    right-hand side vector, as noted below.  The byte count is for the        
    MPS compressed file; it includes a newline character at the end of each   
    line.  These files start with a blank initial line intended to prevent    
    mail programs from discarding any of the data.  The BR column indicates   
    whether a problem has bounds or ranges:  B stands for "has bounds", R     
    for "has ranges".  The BOUND-TYPE TABLE below shows the bound types       
    present in those problems that have bounds.                               
                                                                              
    The optimal value is from MINOS version 5.3 (of Sept. 1988)               
    running on a VAX with default options.                                    
                                                                              
                           PROBLEM SUMMARY TABLE                              
                                                                              
    Name       Rows   Cols   Nonzeros    Bytes  BR      Optimal Value         
    80BAU3B    2263   9799    29063     298952  B     9.8723216072E+05        
                                                                              
            BOUND-TYPE TABLE                                                  
    80BAU3B    UP LO FX                                                       
                                                                              
    Supplied by Bob Fourer.                                                   
                                                                              
    When included in Netlib: Extra free rows omitted.                         
                                                                              
    Source: W. Kurator and Harvey Greenberg, Energy Information               
    Administration (Greenberg is now at the Univ. of Colorado - Denver).      
                                                                              
    Bob Bixby reports that the CPLEX solver (running on a Sparc station)      
    finds slightly different optimal values for some of the problems.         
    On a MIPS processor, MINOS version 5.3 (with crash and scaling of         
    December 1989) also finds different optimal values for some of the        
    problems.  The following table shows the values that differ from those    
    shown above.  (Whether CPLEX finds different values on the recently       
    added problems remains to be seen.)                                       
                                                                              
    Problem        CPLEX(Sparc)          MINOS(MIPS)                          
    80BAU3B      9.8722419241E+05     9.8722952818E+05                        
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,408,630
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD44,263

    SVD-based statistics:
    norm(A)567.225
    min(svd(A))1
    cond(A)567.225
    rank(A)2,262
    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/lp_80bau3b 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.