• SJSU Singular Matrix Database
  • Matrix group: LPnetlib
  • Click here for a description of the LPnetlib group.
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  • Matrix: LPnetlib/lp_bore3d
  • Description: Netlib LP problem bore3d: minimize c'*x, where Ax=b, lo<=x<=hi
  • download as a MATLAB mat-file, file size: 10 KB. Use SJget(278) or SJget('LPnetlib/lp_bore3d') in MATLAB.
  • download in Matrix Market format, file size: 8 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    LPnetlib/lp_bore3d

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

    LPnetlib/lp_bore3d

    dmperm of LPnetlib/lp_bore3d

    scc of LPnetlib/lp_bore3d

    Matrix properties (click for a legend)  
    number of rows233
    number of columns334
    structural full rank?no
    structural rank232
    numerical rank 231
    dimension of the numerical null space103
    numerical rank / min(size(A))0.99142
    Euclidean norm of A 1727.3
    calculated singular value # 2310.038804
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    7.5943e-011
    calculated singular value # 2329.4565e-016
    gap in the singular values at the numerical rank:
    singular value # 231 / singular value # 232
    4.1034e+013
    calculated condition number2.0763e+018
    condest-2
    nonzeros1,448
    # of blocks from dmperm42
    # strongly connected comp.21
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorR. Fourer
    editorR. Fourer
    date
    kindlinear programming problem
    2D/3D problem?no
    SJid278
    UFid606

    Additional fieldssize and type
    bfull 233-by-1
    cfull 334-by-1
    lofull 334-by-1
    hifull 334-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         
    BORE3D      234    315     1525      13160  B     1.3730803942E+03        
                                                                              
            BOUND-TYPE TABLE                                                  
    BORE3D     UP LO FX                                                       
                                                                              
    Supplied by Bob Fourer.                                                   
    Source: consulting.                                                       
    Empty RHS section.                                                        
                                                                              
    When included in Netlib: Extra free rows omitted.                         
                                                                              
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU6,487 5,139
    nnz(R) for QR, upper bound nnz(U) for LU3,168 3,381

    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.