Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer Название: Introduction to random matrices ISBN: 0521194520 ISBN-13(EAN): 9780521194525 Издательство: Cambridge Academ Рейтинг: Цена: 11088.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.
Автор: Bhatia, Rajendra Название: Positive definite matrices ISBN: 0691129185 ISBN-13(EAN): 9780691129181 Издательство: Wiley Рейтинг: Цена: 6486.00 р. Наличие на складе: Поставка под заказ.
Описание: Represents the synthesis of research into positive definite matrices. This book gives techniques that have applications in the study of such matrices. It introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry - all built around the central theme of positive definite matrices.
Автор: Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319284819 ISBN-13(EAN): 9783319284811 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.
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