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- W2024448501 abstract "A modification of Karmarkar's algorithm for linear programming successively generates column-scaled equivalents of the original linear program, and in the scaled coordinates obtains improvements according to steepest descent directions. As an interior-feasible-preserving algorithm, termination requires a purification algorithm to obtain a dual basic optimal solution. Together the two algorithms comprise a ‘hybrid’ procedure for solving linear programs. In this paper we present some convergence results on the Phase II and Phase I portions of the scaling algorithm. We also present results of numerical experiments on examples of Klee—Minty type which show sensitivity to the starting interior-feasible point and steepest descent step size." @default.
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- W2024448501 date "1987-10-01" @default.
- W2024448501 modified "2023-10-13" @default.
- W2024448501 title "Convergence results and numerical experiments on a linear programming hybrid algorithm" @default.
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- W2024448501 doi "https://doi.org/10.1016/0377-2217(87)90270-0" @default.
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