This book is an excellent introduction to global optimization methods based on space-filling curves. The very useful content and engaging style of presentation make it a pleasant, interesting, and valuable read, and I enthusiastically recommend it to anyone interested in optimization. (Sergiy Butenko, SIAM Review, Vol. 57 (1), March, 2015)
The book gives an introduction to the subject and describes a number of non-trivial algorithms combining sophisticated ideas of pure mathematics with numerical methods. ... this is an excellent book written by the world-leading authorities in the field of global optimization. The book nicely describes powerful ideas and algorithms, which could certainly be very useful to anybody working in numerical global optimization. (Anatoly Zhigljavsky, Journal of Global Optimization, Vol. 60, 2014)
1. Introduction.- 2. Approximations to Peano curves.- 3. Global optimization algorithms using curves to reduce dimensionality of the problem.- 4. Ideas for acceleration.- 5. A brief conclusion.- References.