Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint

DOI10.1007/s10898-011-9658-5zbMath1266.90150OpenAlexW2049843278WikidataQ57432617 ScholiaQ57432617MaRDI QIDQ421276

J. Herrera, H. S. Yoon

Publication date: 23 May 2012

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9658-5

zbMATH Keywords

global optimizationnonconvex optimizationNP-hard problemcanonical dualitytriality theory

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of a dual weak vector variational inequality problem
• Global optimization for a class of fractional programming problems
• Canonical duality theory and solutions to constrained nonconvex quadratic programming
• Sufficient conditions and perfect duality in nonconvex minimization with inequality constraints
• Duality principles in nonconvex systems. Theory, methods and applications
• Complete solutions and extremality criteria to polynomial optimization problems
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization
• Legendre Duality in Nonconvex Optimization and Calculus of Variations
• Perfect duality theory and complete solutions to a class of global optimization problems*
• Canonical dual transformation method and generalized triality theory in nonsmooth global optimization