Polynomial optimization have been a hot research topic for the
past few years and its applications range from Operations Research,
biomedical engineering, investment science, to quantum mechanics,
linear algebra, and signal processing, among many others. In this
brief the authors discuss some important subclasses of polynomial
optimization models arising from various applications, with a focus
on approximations algorithms with guaranteed worst case performance
analysis. The brief presents a clear view of the basic ideas
underlying the design of such algorithms and the benefits are
highlighted by illustrative examples showing the possible
applications.
This timely treatise will appeal to researchers and graduate
students in the fields of optimization, computational mathematics,
Operations Research, industrial engineering, and computer
science."
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