Abstract
In this note counter-examples to two triality results are provided. In addition, one of the before mentioned results is corrected and improved.
Similar content being viewed by others
References
Gao DY (1999) General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics. Meccanica 34:169–198
Gao DY (2000a) Duality Principles in Nonconvex Systems: Theory, Methods and Applications. Kluwer Academic, Dordrecht
Gao DY (2000b) Canonical dual transformation method and generalized triality theory in nonsmooth global optimization. J Glob Optim 17:127–160
Gao DY (2003) Perfect duality theory and complete solutions to a class of global optimization problems. Optimization 52:467–493
Gao DY (2004) Canonical duality theory and solutions to constrained nonconvex quadratic programming. J Glob Optim 29:377–399
Gao DY, Strang G (1989) Geometric nonlinearity: potential energy, complementary energy, and the gap function. Q Appl Math 47:487–504
Liu J, Gao DY, Gao Y (2009) Canonical duality for solving nonconvex and nonsmooth optimization problem. Optim Eng 10:153–165
Zhang X, Zhu J, Gao DY (2009) Solution to nonconvex quadratic programming with both inequality and box constraints. Optim Eng 10:183–191
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zălinescu, C. On two triality results. Optim Eng 12, 477–487 (2011). https://doi.org/10.1007/s11081-010-9134-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11081-010-9134-y