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Theorems of the alternative for complex linear inequalities

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Abstract

The classical transposition theorems of Motzkin, Gordan, Stiemke and others are extended to complex linear inequalities.

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Part of the research underlying this report was undertaken for the U.S. Army Research Office-Durham, Contract No. DA-31-124-ARO-D-322, and for the National Science Foundation, Project GP 7550 at Northwestern University. Reproduction of this paper in whole or in part is permitted for any purpose of the United States Government.

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Ben-Israel, A. Theorems of the alternative for complex linear inequalities. Israel J. Math. 7, 129–136 (1969). https://doi.org/10.1007/BF02771659

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