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Analysis of Matrix-Convex Functions |
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| Authors: | S N Amirgalieva V V Ostapenko E V Ostapenko |
| Affiliation: | 1. T. Riskulov Kazakh Economic University, Almaty, Kazakhstan 2. Institute of Applied Systems Analysis, Ministry of Education and Science, National Academy of Sciences of Ukraine, National Technical University “Kiev Polytechnical Institute,”, Kiev, Ukraine 3. Physical-Technical Institute, National Technical University “Kiev Polytechnical Institute,”, Kiev, Ukraine |
| Abstract: | The properties of matrix-convex functions, which may take values from an expanded numerical axis, are analyzed. Matrix convexity is specified by a pair of matrices, a final set of matrices, or an infinite family of matrices. The results obtained are used in the theory of differential games. |
| Keywords: | differential games matrix convexity of sets matrix convexity of functions |
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