Atomic optimization. I. Search Space Transformation and One-dimensional Problems

@article{Pozdyayev2013AtomicOI,
  title={Atomic optimization. I. Search Space Transformation and One-dimensional Problems},
  author={Vladimir V. Pozdyayev},
  journal={Automation and Remote Control},
  year={2013},
  volume={74},
  pages={2069-2092}
}
The paper studies optimization problems with polynomial objective functions and constraints in the form of inequalities. We propose a transformation of the solution method based on the theory of moments. This transformation allows to construct equivalent solution algorithms in the augmented original search space instead of the space of moments. Onedimensional optimization problems are explored in detail. DOI: 10.1134/S0005117913120096 

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