Theorems of the alternative for complex linear inequalities

DOI10.1007/BF02771659zbMath0185.07603OpenAlexW1997061749MaRDI QIDQ2536104

Adi Ben-Israel

Publication date: 1969

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771659

zbMATH Keywords

linear algebra, forms

Related Items (11)

Optimality conditions using sum-convex approximations ⋮ A Fritz John theorem in complex space ⋮ On the complex complementarity problem ⋮ On nonlinear programming in complex spaces ⋮ The geometry of the set of scaled projections ⋮ Real and complex Fritz John theorems ⋮ Existence theory for the complex linear complementarity problem ⋮ More on linear inequalities with applications to matrix theory ⋮ Linear equations over cones with interior: a solvability theorem with applications to matrix theory ⋮ A Fritz John type sufficient optimality theorem in complex space ⋮ A continuous-time generalization of Gordan's transposition theorem

Cites Work

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• A theorem on alternatives for pairs of matrices
• Linear programming in complex space
• Notes on linear inequalities. I: The intersection of the non-negative orthant with complementary orthogonal subspaces
• A complex transposition theorem with applications to complex programming
• Some generalizations and applications of a comples transposition theorem
• Linear Inequalities and Related Systems. (AM-38)
• On the intersections of cones and subspaces
• Two Consequences of the Transposition Theorem on Linear Inequalities
• A Note on Motzkin's Transposition Theorem

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