Matrix: Meszaros/lpl3

Description: linear programming problem, C. Meszaros test set

 (bipartite graph drawing)

• Matrix group: Meszaros
• download as a MATLAB mat-file, file size: 159 KB. Use UFget(1720) or UFget('Meszaros/lpl3') in MATLAB.

 Matrix properties number of rows 10,828 number of columns 33,686 nonzeros 100,525 structural full rank? yes structural rank 10,828 # of blocks from dmperm 174 # strongly connected comp. 1 explicit zero entries 0 nonzero pattern symmetry 0% numeric value symmetry 0% type integer 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 10828-by-1 c full 33686-by-1 lo full 33686-by-1 hi full 33686-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 4,521,973 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 369,594

 SVD-based statistics: norm(A) 500.357 min(svd(A)) 9.36519e-25 cond(A) 5.34273e+26 rank(A) 10,739 sprank(A)-rank(A) 89 null space dimension 89 full numerical rank? no singular value gap 1.35089e+14

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