Iwona Skalna, Marcin Pietroń, and Milan Hladík. Improvements of monotonicity approach to solve interval parametric linear systems. In R. Wyrzykowski et al., editor, Parallel Processing and Applied Mathematics, LNCS, pp. 374–383, Springer, Cham, 2020.
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Recently, we have proposed several improvements of the standard monotonicity approach to solving parametric interval linear systems. The obtained results turned out to be very promising; i.e., we have achieved narrower bounds, while generally preserving the computational time. In this paper we propose another improvements, which aim to further decrease the widths of the interval bounds.
@inCollection{SkaPie2020a,
author = "Skalna, Iwona and Pietro{\'n}, Marcin and Hlad\'{\i}k, Milan",
title = "Improvements of monotonicity approach to solve interval parametric linear systems",
editor = "Wyrzykowski et al., R.",
feditor = "Wyrzykowski, Roman and Deelman, Ewa and Dongarra, Jack and Karczewski, Konrad",
booktitle = "Parallel Processing and Applied Mathematics",
publisher = "Springer",
address = "Cham",
series = "LNCS",
fseries = "Lecture Notes in Computer Science",
volume = "12044",
pages = "374-383",
year = "2020",
doi = "10.1007/978-3-030-43222-5_33",
isbn = "978-3-030-43222-5",
url = "https://doi.org/10.1007/978-3-030-43222-5_33",
bib2html_dl_html = "https://link.springer.com/chapter/10.1007%2F978-3-030-43222-5_33",
abstract = "Recently, we have proposed several improvements of the standard monotonicity approach to solving parametric interval linear systems. The obtained results turned out to be very promising; i.e., we have achieved narrower bounds, while generally preserving the computational time. In this paper we propose another improvements, which aim to further decrease the widths of the interval bounds.",
keywords = "Parametric linear systems; Monotonicity approach; Revised affine forms; Matrix equation",
}
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