@CONFERENCE\{IMM2005-04156, author = "S. Koziel and J. W. Bandler and K. Madsen", title = "Towards a Rigorous Formulation of the Space Mapping Technique for Engineering Design", year = "2005", month = "jun", keywords = "optimization, space mapping, surrogate models", pages = "5605-5608", booktitle = "Int. Symp. Circuits, Syst. {ISCAS} (Kobe, Japan)", volume = "", series = "", editor = "", publisher = "", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/4156-full.html", abstract = "This paper deals with the Space Mapping (SM) approach to engineering design optimization. We attempt here a theoretical justification of methods that have already proven efficient in solving practical problems, especially in the {RF} and microwave area. A formal definition of optimization algorithms using surrogate models based on {SM} technology is given. Convergence conditions for the chosen subclass of algorithms are discussed and explained using a synthetic example, the so-called generalized cheese-cutting problem. An illustrative, circuit-theory based example is also considered." }