Iterative solution of inconsistent systems of linear inequalities |
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| Authors: | Doina Carp Constantin Popa Cristina Serban |
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| Institution: | 1. Constanta Maritime University, Mircea cel Batran str. 104, Constanta 900663, Romania;2. Faculty of Mathematics and Computer Science, Ovidius University, Blvd. Mamaia 124, Constanta 900527, Romania;3. Faculty of Civil Engineering, Ovidius University, Unirii str. 22B, Constanta 900524, Romania |
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| Abstract: | In 1980 S.P. Han proposed a finitely terminating (in exact arithmetic) algorithm for solving an inconsistent system of linear inequalities in a least squares sense. This algorithm uses a singular value decomposition of a submatrix of the problem matrix on each iteration, making it impractical for all but only smaller problems. In this paper we show that a modification of Han's algorithm allows us to introduce an iterative approximation to the singular value decomposition solution. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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