Research output per year
Research output per year
Coralia Cartis, Nicholas I M Gould, Philippe Toint
Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter
Evaluation complexity for convexly constrained optimization is considered and it is shown first that the complexity bound of O(ε- ^{−3∕2} ) proved by Cartis et al. (IMA J Numer Anal 32:1662–1695, 2012) for computing an ε-approximate first-order critical point can be obtained under significantly weaker assumptions. Moreover, the result is generalized to the case where high-order derivatives are used, resulting in a bound of (Formula presented) evaluations whenever derivatives of order p are available. It is also shown that the bound of (Formula presented) evaluations (ε- _{P} and ε- _{D} being primal and dual accuracy thresholds) suggested by Cartis et al. (SIAM J. Numer. Anal. 53:836–851, 2015) for the general nonconvex case involving both equality and inequality constraints can be generalized to yield a bound of (Formula presented) evaluations under similarly weakened assumptions.
Original language | English |
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Title of host publication | Springer Optimization and Its Applications |
Subtitle of host publication | Algorithms, Complexity and Applications |
Editors | Iannis Demetriou, Panos Pardalos |
Publisher | Springer Heidelberg |
Chapter | 1 |
Pages | 5-26 |
Number of pages | 22 |
ISBN (Electronic) | 978-3-030-12766-4 |
DOIs | |
Publication status | Published - Jun 2019 |
Name | Springer Optimization and Its Applications |
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Volume | 145 |
ISSN (Print) | 1931-6828 |
ISSN (Electronic) | 1931-6836 |
Research output: Book/Report/Journal › Book
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
TOINT, P., Gould, N. I. M. & Cartis, C.
1/11/08 → …
Project: Research
Philippe Toint (Visiting researcher)
Activity: Visiting an external institution types › Visiting an external academic institution
Philippe Toint (Speaker)
Activity: Talk or presentation types › Invited talk
Philippe Toint (Speaker)
Activity: Talk or presentation types › Invited talk