Matrix: Mittelmann/spal_004

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

 (bipartite graph drawing)

• Matrix group: Mittelmann
• download as a MATLAB mat-file, file size: 130 MB. Use UFget(1674) or UFget('Mittelmann/spal_004') in MATLAB.

 Matrix properties number of rows 10,203 number of columns 321,696 nonzeros 46,168,124 structural full rank? yes structural rank 10,203 # 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 editor H. Mittelmann date 2005 kind linear programming problem 2D/3D problem? no

 Additional fields size and type b full 10203-by-1 c full 321696-by-1 lo full 321696-by-1 hi full 321696-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 3,062,060,062 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 50,727,756

 SVD-based statistics: norm(A) 0.144294 min(svd(A)) 3.66322e-06 cond(A) 39389.9 rank(A) 10,203 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