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This article is cited in 3 scientific papers (total in 3 papers)
Conditions for the irreducibility and primitivity of monotone subhomogeneous mappings
V. D. Mazurov, A. I. Smirnov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
We present necessary and sufficient conditions for the local irreducibility of monotone subhomogeneous transformations of the cone $\mathbb{R}_+^q$. The main attention is paid to the notion of irreducibility of a mapping at zero, which is a weakening of the classical notion of irreducibility of a mapping. We analyze the properties of monotone first-degree positively homogeneous mappings irreducible at zero and of subhomogeneous mappings. Necessary and sufficient conditions are obtained for the primitivity of such mappings.
Keywords:
first-degree positively homogeneous mapping, subhomogeneous mapping, irreducible mapping, irreducible at zero mapping, primitive mapping.
Received: 17.05.2016
Citation:
V. D. Mazurov, A. I. Smirnov, “Conditions for the irreducibility and primitivity of monotone subhomogeneous mappings”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 169–177
Linking options:
https://www.mathnet.ru/eng/timm1332 https://www.mathnet.ru/eng/timm/v22/i3/p169
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Abstract page: | 173 | Full-text PDF : | 42 | References: | 24 | First page: | 7 |
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