A Fritz John theorem in complex space
- 1 February 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 8 (2) , 215-220
- https://doi.org/10.1017/s0004972700042465
Abstract
Necessary conditions of the Fritz John type are given for a class of nonlinear programming problems over polyhedral cones in finite dimensional complex space.Consider the problem to whereSis a polyhedral cone in, andCmandf:C2n→C,g:C2n→Cmare differentiable functions. A necessary condition for a feasible pointz0to be optimal is that there exist τ≥0, ν ∈S*, (τ, ν) ≠ 0, such that andKeywords
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