Matrix: LPnetlib/lp_ship08l

Description: Netlib LP problem ship08l: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_ship08l graph
(bipartite graph drawing)

LPnetlib/lp_ship08l dmperm of LPnetlib/lp_ship08l
scc of LPnetlib/lp_ship08l

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 34 KB. Use UFget(686) or UFget('LPnetlib/lp_ship08l') in MATLAB.
  • download in Matrix Market format, file size: 50 KB.
  • download in Rutherford/Boeing format, file size: 37 KB.

    Matrix properties
    number of rows778
    number of columns4,363
    structural full rank?no
    structural rank712
    # of blocks from dmperm26
    # strongly connected comp.67
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorR. Fourer
    editorR. Fourer
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 778-by-1
    cfull 4363-by-1
    lofull 4363-by-1
    hifull 4363-by-1
    z0full 1-by-1


    A Netlib LP problem, in lp/data.  For more information                    
    send email to 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 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         
    SHIP08L     779   4283    17085     117083        1.9090552114E+06        
    Supplied by Bob Fourer.                                                   
    When included in Netlib: Extra free rows omitted.                         
    Source: consulting.                                                       

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD137,251
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD9,798

    SVD-based statistics:
    null space dimension66
    full numerical rank?no
    singular value gap8.45798e+12

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

    LPnetlib/lp_ship08l 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.