Contribution to collective works (Parts of books)
Optimization on manifolds : methods and applications
Absil, P.-A.; Mahony, R.; Sepulchre, Rodolphe
2010In Recent Advances in Optimization and its Applications in Engineering
 

Files


Full Text
AMS10.pdf
Author preprint (271.79 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



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.
Disciplines :
Electrical & electronics engineering
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 - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Optimization on manifolds : methods and applications
Publication date :
2010
Main work title :
Recent Advances in Optimization and its Applications in Engineering
Publisher :
Springer-Verlag
Pages :
125-144
Available on ORBi :
since 07 November 2010

Statistics


Number of views
123 (3 by ULiège)
Number of downloads
1566 (1 by ULiège)

Scopus citations®
 
20
Scopus citations®
without self-citations
18
OpenCitations
 
10

Bibliography


Similar publications



Contact ORBi