LPnetlib/lp_vtp_base
Netlib LP problem vtp_base: minimize c'*x, where Ax=b, lo<=x<=hi
| Name | lp_vtp_base | 
| Group | LPnetlib | 
| Matrix ID | 700 | 
| Num Rows | 198 | 
| Num Cols | 346 | 
| Nonzeros | 1,051 | 
| Pattern Entries | 1,051 | 
| Kind | Linear Programming Problem | 
| Symmetric | No | 
| Date |  | 
| Author | R. Fourer | 
| Editor | R. Fourer | 
 
 
| Structural Rank | 198 | 
| Structural Rank Full | true | 
| Num Dmperm Blocks | 3 | 
| Strongly Connect Components | 3 | 
| Num Explicit Zeros | 0 | 
| Pattern Symmetry | 0% | 
| Numeric Symmetry | 0% | 
| Cholesky Candidate | no | 
| Positive Definite | no | 
| Type | real | 
 
| SVD Statistics | 
| Matrix Norm | 1.557008e+04 | 
| Minimum Singular Value | 4.383130e-04 | 
| Condition Number | 3.552275e+07 | 
| Rank | 198 | 
| sprank(A)-rank(A) | 0 | 
| Null Space Dimension | 0 | 
| Full Numerical Rank? | yes | 
| Download Singular Values | MATLAB | 
 
 
| Download | MATLAB
Rutherford Boeing
Matrix Market | 
| 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         
VTP.BASE    199    203      914       8175  B     1.2983146246E+05        
                                                                          
        BOUND-TYPE TABLE                                                  
VTP.BASE   UP LO FX FR                                                    
                                                                          
Supplied by Bob Fourer.                                                   
Source: consulting. |