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University of Groningen Variants of the block GMRES method for solving multi-shifted linear systems with multiple right-hand sides simultaneously Sun, Donglin

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University of Groningen

Variants of the block GMRES method for solving multi-shifted linear systems with multiple

right-hand sides simultaneously

Sun, Donglin

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below.

Document Version

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Publication date: 2019

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Sun, D. (2019). Variants of the block GMRES method for solving multi-shifted linear systems with multiple right-hand sides simultaneously. University of Groningen.

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Acknowledgements

First and foremost, my deepest gratitude goes to my two great supervisors: prof. Roel Verstappen from University of Groningen and prof. Tingzhu Huang from University of Electronic Science and Technology of China (UESTC). They provided me the opportunity to study as a PhD student. I would like to thank Roel for reading the entire manuscript thoroughly, for his valuable comments to improve this manuscript and for translating the summary in Dutch. I would like to thank Tingzhu for teaching me how to become a better person not only academically but also in life. These teachings will inspire me for a lifetime.

Special appreciation and thanks go to my co-supervisor, prof. Bruno Carpentieri, for teaching me how to organize the paper and how to do research rigorously. Your meticulous attitudes of scientific research made a deep impression on me. Bruno is more like a friend than a supervisor as he is always warm, cheerful and supportive. More important is that he always encourages me to face the challenge and to go further. I will never forget that he told me no matter what problems I have and no matter when it is, I could ask him for help. These words made me very warm in a foreign country.

Many thanks also go to the assessment committee, prof. A.J. van der Schaft, prof. C. Vuik, and prof. M. Bollhoefer, for spending time and effort on evaluating the manuscript and sharing valuable comments.

I would like to thank all the members in the research group Computational Mechanics and Numerical Mathematics of the University of Groningen for providing a friendly research environment to me. Many thanks to academic staffs including Arthur Veldman, Roel Verstappen, and Fred Wubs. I would also like to thank my colleagues including Maurits Silvis, Sven Baars, Ronald Remmerswaal, Erik Mulder, Weiyan Song, Xianming Gu, Zhaoli Shen, Yiming Bu, Henk Seubers, and Peter van der Plas. Special thanks go to my roommates Sven, Ronald and Erik for sharing the office with me and helping me read Dutch letters. Special thanks also go to Yiming for sharing useful information with me.

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152 Acknowledgements

Thanks to the administrative staffs of the University of Groningen: Janieta de Jong-Schlukebir, Annette Korringa-de Wit, Ingrid Veltman, and Ineke Schelhaas. My thanks also go to the Ubbo Emmius Scholarship.

In addition, I would like to thank the staffs and colleagues from the UESTC. They are: Yanfei Jing, Liang Li, Houbiao Li, Xilei Zhao, Yan Liu, Puying Ye, Jiao Zhang, Yanfei Xiang, Qian Kong, Meimei Li, and Xin Peng. Special thanks go to my master supervisor prof. Yanfei Jing. He led me into the door of the research. He taught me how to do research and how to think logically. I also thanks him for encouraging me to study abroad.

My sincere thanks go to all my Chinese friends in Groningen: Chengtao Ji, Xingchen Yan, Yuanrui Liu, Lu Wang, Yue Sun, Suxiao Li, Ye Liu, Kailan Tian, Yan Shao, Jing Jing, Yehan Tao, Huala Wu, and Yan Yan. I would like to thank them for all the unforgettable and colorful time that we spent together. Special thanks go to my paranymphys Chengtao and Ye, for being by my side during the defense. Moreover, my thanks also go to my friends in China, Keke Zhang, Chunhua Ma, Yang Li, Qianqian L¨u, Xiaoya Shi, for their constant support. I wish you a bright future.

Special thanks go to my boyfriend Tengyu Ji, for sharing happiness and sorrow in our lives. Whenever I was confused, his encouragement made me brave to go on. I am so lucky to have his endless support and delightful accompany.

At the last but not the least, my deepest gratitude goes to my parents and my brother for their support, understanding, encouragement, and love. The happiest thing is to be a family with them.

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