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Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem

Gao, David; Ruan, Ning - In: Computational Statistics 67 (2008) 3, pp. 479-491

these primal solutions can be identified by the triality theory associated with the canonical duality theory. Several …

Persistent link: https://www.econbiz.de/10010759523

Counterexamples to a triality theorem for quadratic-exponential minimization problems

Voisei, M.; Zălinescu, C. - In: Computational Statistics 77 (2013) 2, pp. 227-237

The main goal of this note is to give a counterexample to the Triality Theorem in Gao and Ruan (Math Methods Oper Res …

Persistent link: https://www.econbiz.de/10010847725

Counterexamples to a triality theorem for quadratic-exponential minimization problems

Voisei, M.; Zălinescu, C. - In: Mathematical Methods of Operations Research 77 (2013) 2, pp. 227-237

The main goal of this note is to give a counterexample to the Triality Theorem in Gao and Ruan (Math Methods Oper Res …

Persistent link: https://www.econbiz.de/10010999755

A branch and bound algorithm for the global optimization of Hessian Lipschitz continuous functions

Fowkes, Jaroslav; Gould, Nicholas; Farmer, Chris - In: Journal of Global Optimization 56 (2013) 4, pp. 1791-1815

We present a branch and bound algorithm for the global optimization of a twice differentiable nonconvex objective function with a Lipschitz continuous Hessian over a compact, convex set. The algorithm is based on applying cubic regularisation techniques to the objective function within an...

Persistent link: https://www.econbiz.de/10010845823