Matrix: LPnetlib/lp_scsd1

Description: Netlib LP problem scsd1: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_scsd1 graph
(bipartite graph drawing)


LPnetlib/lp_scsd1

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 6 KB. Use UFget(675) or UFget('LPnetlib/lp_scsd1') in MATLAB.
  • download in Matrix Market format, file size: 10 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    Matrix properties
    number of rows77
    number of columns760
    nonzeros2,388
    structural full rank?yes
    structural rank77
    # 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

    authorJ. Ho, E. Loute
    editorR. Fourer
    date1981
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 77-by-1
    cfull 760-by-1
    lofull 760-by-1
    hifull 760-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 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         
    SCSD1        78    760     3148      17852        8.6666666743E+00        
                                                                              
    Supplied by Bob Fourer.                                                   
    Source: J.K. Ho and E. Loute, "A Set of Staircase Linear Programming      
    Test Problems", Math. Prog. 20 (1981), pp. 245-250.                       
                                                                              
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD29,520
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,481

    SVD-based statistics:
    norm(A)6.4738
    min(svd(A))0.305193
    cond(A)21.2121
    rank(A)77
    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_scsd1 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.