Reference : Optimization on manifolds : methods and applications

	Document type :	Parts of books : Contribution to collective works
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/2268/75218

Title :	Optimization on manifolds : methods and applications
Language :	English
Author, co-author :	Absil, P.-A. [Université Catholique de Louvain - UCL > Department of Mathematical Engineering > > >]
	Mahony, R. [Australian National University > > > >]
	Sepulchre, Rodolphe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
Publication date :	2010
Main document title :	Recent Advances in Optimization and its Applications in Engineering
Publisher :	Springer-Verlag
Pages :	125-144
Abstract :	[en] Summary. This paper provides an introduction to the topic of optimization on manifolds. The approach taken uses the language of differential geometry, however, we choose to emphasise the intuition of the concepts and the structures that are important in generating practical numerical algorithms rather than the technical details of the formulation. There are a number of algorithms that can be applied to solve such problems and we discuss the steepest descent and Newton’s method in some detail as well as referencing the more important of the other approaches. There are a wide range of potential applications that we are aware of, and we briefly discuss these applications, as well as explaining one or two in more detail.
Permalink :	http://hdl.handle.net/2268/75218

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