Nonlinear Programming: Counterexamples to Two Global Optimization Algorithms

Published Online:https://doi.org/10.1287/opre.21.6.1260

This paper gives counterexamples to: (1) Ritter's algorithm for the global maximization of a quadratic subject to linear inequality constraints, and (2) Tui's algorithm for the global minimization of a concave function subject to linear inequality constraints.

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