Matrix: Meszaros/world

Description: linear programming problem, C. Meszaros test set

 (bipartite graph drawing)

• Matrix group: Meszaros
• download as a MATLAB mat-file, file size: 675 KB. Use UFget(1781) or UFget('Meszaros/world') in MATLAB.

 Matrix properties number of rows 34,506 number of columns 67,147 nonzeros 198,883 structural full rank? yes structural rank 34,506 # of blocks from dmperm 401 # strongly connected comp. 401 explicit zero entries 0 nonzero pattern symmetry 0% numeric value symmetry 0% type real structure rectangular Cholesky candidate? no positive definite? no

 author editor C. Meszaros date 2004 kind linear programming problem 2D/3D problem? no

 Additional fields size and type b full 34506-by-1 c full 67147-by-1 lo full 67147-by-1 hi full 67147-by-1 z0 full 1-by-1

Notes:

```http://www.sztaki.hu/~meszaros/public_ftp/lptestset
Converted to standard form via Resende and Veiga's mpsrd:
minimize c'*x, subject to A*x=b and lo <= x <= hi
```

 Ordering statistics: result nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 26,116,577 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 1,756,168

 SVD-based statistics: norm(A) 8521.98 min(svd(A)) 0.999404 cond(A) 8527.05 rank(A) 34,506 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 (R)) ; where [~,R,E] = spqr (A') with droptol of zero status: ok