Matrix: Mittelmann/fome11

Description: Linear programming problem (H. Mittelmann test set)

 (bipartite graph drawing)

• Matrix group: Mittelmann
• download as a MATLAB mat-file, file size: 289 KB. Use UFget(1665) or UFget('Mittelmann/fome11') in MATLAB.

 Matrix properties number of rows 12,142 number of columns 24,460 nonzeros 71,264 structural full rank? yes structural rank 12,142 # of blocks from dmperm 1 # strongly connected comp. 2 explicit zero entries 0 nonzero pattern symmetry 0% numeric value symmetry 0% type real structure rectangular Cholesky candidate? no positive definite? no

 author editor H. Mittelmann date 2005 kind linear programming problem 2D/3D problem? no

 Additional fields size and type b full 12142-by-1 c full 24460-by-1 lo full 24460-by-1 hi full 24460-by-1 z0 full 1-by-1

Notes:

```Hans Mittelmann test set, http://plato.asu.edu/ftp/lptestset
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 18,389,701 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 3,089,412

 SVD-based statistics: norm(A) 15.917 min(svd(A)) 4.5988e-16 cond(A) 3.46111e+16 rank(A) 12,116 sprank(A)-rank(A) 26 null space dimension 26 full numerical rank? no singular value gap 2.88598e+13

 singular values (MAT file): click here SVD method used: s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero status: ok