Conference Overview

The 5th International Conference on Quaternion Matrix Computations with Applications (ICQMC 2025) was successfully held from May 9-12, 2025 at Qufu Normal University. The conference was honored to have distinguished guests including Prof. Musheng Wei from Shanghai Normal University, Prof. Vasily Ivanovich Vasiliev from North-Eastern Federal University (Russia), Corresponding Member of the Russian Academy of Sciences Prof. Galina Gennadievna Lazareva from Peoples' Friendship University of Russia (Russia), renowned mathematician Prof. Liqun Qi from The Hong Kong Polytechnic University, Prof. Michael K. Ng from Hong Kong Baptist University, as well as the leadership of Qufu Normal University.

Over 150 experts, scholars, PhD candidates, and graduate students from more than 60 domestic and international institutions participated in the conference, including Tsinghua University, Fudan University, Xi'an Jiaotong University, Beihang University, The Hong Kong Polytechnic University, Hong Kong Baptist University, University of Macau, Macau University of Science and Technology, National Research University Higher School of Economics (Russia), and North-Eastern Federal University (Russia).

Conference Themes and Achievements

The conference featured in-depth discussions on theoretical innovations and engineering applications of quaternion matrix computations, with significant advancements showcased in areas including color image processing (quaternion regularization models for image deblurring, quaternion matrix equation encryption), signal processing (hypercomplex analytic signal framework construction), UAV formation control (dual quaternion graph models), and industrial fault diagnosis (bearing fault detection using quaternion singular value decomposition).

The conference presented a series of innovative mathematical models (such as dual quaternion directed graph theoretical frameworks, cross-space total variation regularization models) and efficient algorithms (including Riemannian alternating direction multiplier methods, complex embedding feature solvers). These contributions not only deepened the quaternion theoretical system but also provided breakthrough solutions for engineering technical challenges in related fields.

Opening Ceremony and Distinguished Speeches

The opening ceremony was honored by the presence of leaders from Qufu Normal University, who delivered warm welcome speeches to all attending experts and scholars. They reviewed the university's 70-year development history since its founding in 1955 and elaborated on the contemporary significance of the school motto "Learn without satiety, teach without tiring." They expressed hope that this conference would become an important platform for promoting academic innovation and deepening international cooperation, contributing wisdom to the advancement of related fields. The ICQMC International Academic Conference added luster to Qufu Normal University's 70th anniversary and became a highlight of academic exchange at the School of Mathematical Sciences.

Prof. Vasily Ivanovich Vasiliev from North-Eastern Federal University attended in person and delivered warm congratulations on the successful holding of the conference. In his speech, he systematically introduced the research team of the Computer Technology Department, achievements in multi-scale modeling algorithms, and the construction and research characteristics of world-class laboratories. He emphasized that quaternion matrix computation is an important field of Sino-Russian mathematical cooperation, with fruitful past exchanges and great potential for future collaboration. He expressed high recognition for deepening academic exchange and cooperation between China and Russia in this field.

Renowned mathematician Prof. Liqun Qi from The Hong Kong Polytechnic University delivered an online speech, sharing his insights and prospects for quaternion development. On the occasion of the 80th anniversary of Russia's Victory Day, Prof. Qi pointed out that mathematical research is like brilliant starlight, encouraging scholars from various countries to use this conference to inherit the spirit of exploration and deepen international cooperation. He wished the conference complete success and hoped that experts would engage in productive discussions, generate innovative results, promote research on quaternion matrix computations and applications, and inject new momentum into the development of mathematical disciplines.

Prof. Musheng Wei, Chairman of the Academic Committee, reviewed the contributions of Chinese scholars to quaternion research and expressed gratitude to Qufu Normal University for organizing this conference. Prof. Wei stated that quaternion matrix computations and applications have gained attention from mathematicians and engineers, hoping that everyone would engage in in-depth exchanges through this conference and achieve more outstanding results in follow-up research.

The opening ceremony was presided over by Prof. Peihe Wang, Dean of the School of Mathematical Sciences at Qufu Normal University.

Keynote Presentations

The conference featured 10 keynote presentations, 14 invited presentations, and 15 graduate student presentations (PhD and Master's). The presentations focused on the theory, methods, and algorithms of quaternion matrices, with vibrant and diverse content. The on-site discussions were lively, elevating the research on theory, methods, and applications of quaternion matrix computations to new heights. Participants expressed that they gained a lot and benefited greatly from the conference.

Conference History and Significance

The International Conference on Quaternion Matrix Computations with Applications was initiated in 2017 by Professors Musheng Wei, Tongsong Jiang, and Jianli Zhao, aiming to establish an academic exchange platform for quaternion matrix computations and applications. The conference has successfully held five academic conferences over the years, with previous venues in Liaocheng, Shandong (2017), Nanning, Guangxi (2019), Jinan, Shandong (2023), Xuzhou, Jiangsu (2024), and Qufu, Shandong (2025).

The continuous holding of the conference has not only promoted academic exchange and cooperation among scholars in the field of quaternion matrix computations and applications but also established an international exchange and cooperation platform in this field. At the same time, the conference has showcased the research achievements and academic advantages of Chinese scholars in quaternion matrix computations and applications, which will undoubtedly continue to drive innovative development in this direction.