Contents Talks Events Software Bibtex Errata
Table Of Contents
1. Introduction
2. Motivation and applications
3. Matrix manifolds: first-order geometry
4. Line-search algorithms
5. Matrix manifolds: second-order geometry
6. Newton's method
7. Trust-region methods
8. A constellation of superlinear algorithms
Detailed table of contents
Selected related talks
- Slides of the GIO 2014 talk on "Optimization on manifolds: methods and applications", Bordeaux, 4-5 Dec 2014.
- Slides of the BFG'09 talk "Optimization on manifolds: methods and applications", Leuven, 18 Sep 2009.
- Talk on vector transport given at ICIAM 07,
17 July 2007:
PDF file.
-
Overview talk given at the DYSCO meeting, 16 April 2007:
PDF file.
Related events
Selected past events
Software
- Manopt is a Matlab toolbox for
optimization on manifolds.
- Related software is listed in Manopt's About page.
Bibtex entry
@BOOK{AbsMahSep2008,
author = "P.-A. Absil and R. Mahony and R. Sepulchre",
title = "Optimization Algorithms on Matrix Manifolds",
publisher = "Princeton University Press",
address = "Princeton, NJ",
year = 2008,
pages = "xvi+224",
isbn = "978-0-691-13298-3",
keywords = "optimization on manifolds, Riemannian optimization, retraction, vector transport",
}
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