|Reference : Optimization on manifolds : methods and applications|
|Parts of books : Contribution to collective works|
|Engineering, computing & technology : Electrical & electronics engineering|
|Optimization on manifolds : methods and applications|
|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 >]|
|Recent Advances in Optimization and its Applications in Engineering|
|[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.
|File(s) associated to this reference|
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