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- W4286354954 abstract "In this paper, we present an interior-point method with the resolution of the necessary linear system in each iteration by iterative methods. We will use the method of conjugate preconditioned gradients to solve this linear system. In particular, adaptive preconditioners to this linear system were applied in conjunction with the conjugate gradients method, thus obtaining good computational results. The preconditioner called controlled Cholesky factorization (CCF) is used in the initial iterations, and the separating preconditioner specially developed for the final iterations is then used. However, this approach is still not robust because, for many problems, there is a range in the spectrum of iterations where the controlled Cholesky factorization controlled factoring is no longer efficient and the separating preconditioner still does not obtain satisfactory results. Therefore, we propose to combine these preconditioners with the Elman preconditioner, aiming to obtain an even better computational performance in both robustness and total processing time. In this way, the qualities of the preconditioners used would be combined, improving the efficiency of the approach." @default.
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- W4286354954 date "2022-01-01" @default.
- W4286354954 modified "2023-10-01" @default.
- W4286354954 title "The Use of the Elman Preconditioner in the Early Iterations of Interior Point Methods" @default.
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- W4286354954 doi "https://doi.org/10.1007/978-3-031-08545-1_34" @default.
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