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Linear equations over cones with interior: a solvability theorem with applications to matrix theory
Journal article   Open access  Peer reviewed

Linear equations over cones with interior: a solvability theorem with applications to matrix theory

Abraham Berman and Adi Ben-Israel
Linear algebra and its applications, Vol.7(2), pp.139-149
1973
DOI: https://doi.org/10.1016/0024-3795(73)90048-7

Abstract

The solvability of linear equations with solutions in the interior of a closed convex cone is characterized. Corollaries include Lyapunov's theorem characterizing stable matrices and a generalization of Stiemke's theorem of the alternative for complex linear inequalities.
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https://doi.org/10.1016/0024-3795(73)90048-7View
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