Zhang Matrix Analysis and Applications

Erscheinungsjahr 2017
ISBN: 978-1-108-28109-6
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 0 Seiten

This balanced and comprehensive study presents the theory, methods, and applications of matrix analysis in a new theoretical framework, allowing readers to understand second-order and higher-order matrix analysis in a completely new light. Alongside the core subjects in matrix analysis, such as singular value analysis, solving matrix equations and eigenanalysis, the author introduces new applications and perspectives that are unique to this book. As a very topical subject matter, gradient analysis and optimization plays a central role here. Also included are subspace analysis, projection analysis, and tensor analysis, topics which are often neglected in other books. Having provided a solid foundation to the subject, the author goes on to place particular emphasis on the many applications matrix analysis can have in science and engineering, making this book suitable for scientists, engineers, and graduate students alike.

Autoren/Hrsg.

Zhang, Xian-Da

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

Preface; Notation; List of abbreviations; List of algorithms; Part I. Matrix Algebra: 1. Introduction to matrix algebra; 2. Special matrices; 3. Matrix differential; Part II. Matrix Analysis: 4. Gradient analysis and optimization; 5. Singular value analysis; 6. Solving matrix equations; 7. Eigenanalysis; 8. Subspace analysis and tracking; 9. Projection analysis; Part III. Higher-Order Matrix Analysis: 10. Tensor analysis; References; Index.

Über Autor(innen)

Zhang, Xian-Da
Xian-Da Zhang is Professor Emeritus in the Department of Automation, at Tsinghua University, Beijing. He was a Distinguished Professor at Xidian University, Xi'an, China, awarded by the Ministry of Education of China and Cheung Kong Scholars Program from 1999 to 2002. His areas of research include signal processing, pattern recognition, machine learning and correlated applied mathematics. He has published over 120 international journal and conference papers, and seven books in Chinese. He also taught the graduate course 'Matrix Analysis and Applications' at Tsinghua University from 2004 to 2011.