Mathematics of Computation and Optimisation

Hello everyone,

Please join us for a DMG Mathematics Seminar, held at Deakin CBD campus (please contact j.ugon@deakin.edu.au if you would like to attend in person), and on zoom:

https://deakin.zoom.us/j/84035502989?pwd=tIuy66p0Uc4fxO9IDjbagAVDopJ3wu.1

Friday, September, 5, 11AM (Melbourne).

Title: About the Extremal Principle: From Convex Analysis to Nonsmooth Analysis (Geometric Considerations)

By: Prof Alexander Kruger, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi

Minh City, Vietnam

Abstract:  Since the extremal principle was introduced in 1980, it has proved to be one of the key tools in nonsmooth optimization and variational analysis, serving as a substitution for the classical convex separation theorem when the convexity assumptions are not satisfied. Several extensions of the extremality property of collections of sets have been introduced as well as several extensions of the extremal principle.

In this talk, I am going to present and discuss extremality, local extremality, stationarity and approximate stationarity properties of collections of sets and the corresponding (extended) extremal principle.

References

Kruger, A.Y., Mordukhovich, B.S.: Extremal points and the Euler equation in nonsmooth optimization problems. Dokl. Akad. Nauk BSSR 24(8), 684–687 (1980)

Kruger, A.Y.: Weak stationarity: eliminating the gap between necessary and sufficient conditions. Optimization 53(2), 147–164 (2004)

Bui, H.T., Kruger A.Y.: About extensions of the extremal principle. Vietnam J. Math. 46(2), 215–242 (2018)

Bui, H.T., Kruger A.Y.: Extremality, stationarity and generalized separation of collections of sets. J. Optimization Theory Appl. 182(1), 211–264 (2019)

Cuong, N.D., Kruger, A.Y., Thao, N.H.: Extremality of families of sets. Optimization 73(12), 3593–3607 (2024)

Cuong, N.D., Kruger, A.Y.: Generalized separation of collections of sets. arXiv: 2412.05336

The Department of Electrical and Computer Systems Engineering at Monash University is recruiting a Research Fellow (level A) to contribute to the ARC-funded project “Exploiting duality in quantum relative entropy optimisation”.

For more information, see the job advertisement:

https://careers.pageuppeople.com/513/cw/en/job/682869/research-fellow-exploiting-duality-in-quantum-relative-entropy-optimisation

MOCAO Lectures August 25-29.

Dear MOCAO members. Our 2025 MOCAO lectures will be running during the last week of August (August 25-29).

There will be five online lectures (daily). There exact timetable and individual lecture titles will be communicated closer to the date.

Speakers:  Prof. Timothy Moroney (QUT)  

                  Dr Qianqian Yang (QUT)

Registration is now open:

https://docs.google.com/forms/d/e/1FAIpQLSfhHftVL2GJrQCsJLbao3dgn4-UHkAdN-MS_Y92iMDgCFOqgw/viewform?usp=header

Dear MoCaO members,

Happy New Year.

MoCaO nominations are now complete.

None of the positions has received multiple nominations and all the nominations have been accepted by the nominees.

The new Executive team is as follows.

Optimisation co-chair

• Dmytro Matsypura

Computational co-chair

• Ricardo Ruiz Baier

Treasurer

• Minh Dao

Secretary

• Vinesha Peiris

Communications-web manager

• Nadezda Sukhorukova

Ordinary executive members (2)

• Scott Lindstrom
• Bishnu Lamichhane

Dear MoCaO members,

We need to undertake an election for the executive and this needs to be completed before (or soon after) the beginning of next year. For this election Andrew Eberhard and Alex Kruger will serve as returning officers (and consequently will not be seeking re-election).

 We are now seeking nomination for the following positions. All people nominated for these positions should be dual members of AustMS and MoCaO and should be nominated by two registered members of MoCaO.

1. Chair (Optimisation)

2. Chair (Computation)

3. Secretary

4. Treasurer

5. Communications-Web manager

6. Two ordinary members of the executive

Please send your nomination by email to MoCaO@austms.org.au

An online system will be set up and details on how to cast your vote online will be send in a follow up email.  

The closing date for nominations will be December the 20th, 2024 after which we will initiate a vote in the following weeks. Probably in the early new year.