Matrix: LPnetlib/lp_finnis
Description: Netlib LP problem finnis: minimize c'*x, where Ax=b, lo<=x<=hi
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| (bipartite graph drawing) |
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| Matrix properties | |
| number of rows | 497 |
| number of columns | 1,064 |
| nonzeros | 2,760 |
| structural full rank? | yes |
| structural rank | 497 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | real |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | N. Gould |
| editor | D. Gay |
| date | 1989 |
| kind | linear programming problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 497-by-1 |
| c | full 1064-by-1 |
| lo | full 1064-by-1 |
| hi | full 1064-by-1 |
| z0 | full 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
FINNIS 498 614 2714 23847 B 1.7279096547E+05
BOUND-TYPE TABLE
FINNIS UP LO FX
When included in Netlib: Extra free rows omitted.
Nick Gould supplied FINNIS from the Harwell collection of LP test problems.
Concerning the problems he supplied, Nick Gould says that FINNIS
"is from Mike Finnis at Harwell, a model for the selection of
alternative fuel types."
Added to Netlib on 6 April 1989
| Ordering statistics: | result |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 29,365 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,890 |
| SVD-based statistics: | |
| norm(A) | 117.191 |
| min(svd(A)) | 0.107191 |
| cond(A) | 1093.3 |
| rank(A) | 497 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (A)) ; |
| status: | ok |
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.