Climbing LP Algorithms

December 31, 2020 Β· Declared Dead Β· πŸ› Symposium on the Theory of Computing

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Authors Leonid A. Levin arXiv ID 2101.00101 Category cs.DS: Data Structures & Algorithms Cross-listed math.OC Citations 0 Venue Symposium on the Theory of Computing Last Checked 4 months ago
Abstract
NP (search) problems allow easy correctness tests for solutions. Climbing algorithms allow also easy assessment of how close to yielding the correct answer is the configuration at any stage of their run. This offers a great flexibility, as how sensible is any deviation from the standard procedures can be instantly assessed. An example is the Dual Matrix Algorithm (DMA) for linear programming, variations of which were considered by A.Y. Levin in 1965 and by Yamnitsky and myself in 1982. It has little sensitivity to numerical errors and to the number of inequalities. It offers substantial flexibility and, thus, potential for further developments.
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