Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

Matrix properties (click for a legend) | |

number of rows | 3,068 |

number of columns | 6,411 |

structural full rank? | no |

structural rank | 2,986 |

numerical rank | 2,981 |

dimension of the numerical null space | 3,430 |

numerical rank / min(size(A)) | 0.97164 |

Euclidean norm of A | 180.99 |

calculated singular value # 2981 | 0.011163 |

numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = | 1.8221e-010 |

calculated singular value # 2982 | 1.7075e-015 |

gap in the singular values at the numerical rank: singular value # 2981 / singular value # 2982 | 6.5378e+012 |

calculated condition number | Inf |

condest | -2 |

nonzeros | 15,977 |

# of blocks from dmperm | 17 |

# strongly connected comp. | 83 |

explicit zero entries | 0 |

nonzero pattern symmetry | 0% |

numeric value symmetry | 0% |

type | real |

structure | rectangular |

Cholesky candidate? | no |

positive definite? | no |

author | J. Kennington |

editor | I. Lustig |

date | 1990 |

kind | linear programming problem |

2D/3D problem? | no |

SJid | 345 |

UFid | 611 |

Additional fields | size and type |

b | full 3068-by-1 |

c | full 6411-by-1 |

lo | full 6411-by-1 |

hi | full 6411-by-1 |

z0 | full 1-by-1 |

Notes:

A Netlib LP problem, in lp/data/kennington. For more information send email to netlib@ornl.gov with the message: send index from lp send readme from lp/data send readme from lp/data/kennington The following are relevant excerpts from lp/data/kennington/readme: The "Kennington" problems: sixteen problems described in "An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications" by W. J. Carolan, J. E. Hill, J. L. Kennington, S. Niemi, S. J. Wichmann (Operations Research vol. 38, no. 2 (1990), pp. 240-248). The following table gives some statistics for the "Kennington" problems. The number of columns excludes slacks and surpluses. The bounds column tells how many entries appear in the BOUNDS section of the MPS file. The mpc column shows the bytes in the problem after "uncompress" and before "emps"; MPS shows the bytes after "emps". The optimal values were computed by Vanderbei's ALPO, running on an SGI computer (with binary IEEE arithmetic). Name rows columns nonzeros bounds mpc MPS optimal value CRE-C 3069 3678 16922 0 135315 587817 2.5275116e+07 Submitted to Netlib by Irv Lustig.

Ordering statistics: | AMD |
METIS |

nnz(V) for QR, upper bound nnz(L) for LU | 306,439 | 300,373 |

nnz(R) for QR, upper bound nnz(U) for LU | 34,798 | 36,226 |

*Maintained by Leslie Foster, last updated 24-Apr-2009.*

Entries 5 through 14 in the table of matrix properties and the singular

value plot were created using SJsingular code. The other plots

and statistics are produced using utilities from
the SuiteSparse package.

Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.