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Original Articles

Finding all linearly dependent rows in large-scale linear programming

Pages 219-227 | Received 13 Oct 1994, Published online: 22 Dec 2010
 

Abstract

All the new interior-point algorithms for linear programming (LP) assume that the rows of the constraint matrix are linearly independent. The assumption is necessary, because the algorithms solve a certain linear system which does not have a unique solution in the case of dependent rows. In this paper we study a pivoting based approach for finding all the linearly dependent rows. Moreover encouraging computational results are reported

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