Conjugate Gradient Algorithms in Nonconvex Optimization, Radoslaw Pytlak
Автор: Ivan Singer Название: Duality for Nonconvex Approximation and Optimization ISBN: 1441921036 ISBN-13(EAN): 9781441921031 Издательство: Springer Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Shashi K. Mishra Название: Topics in Nonconvex Optimization ISBN: 1461428890 ISBN-13(EAN): 9781461428893 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This contributed volume consists of papers in the area of nonconvex optimization from researchers practicing in India. It aims to bring together new concepts, theoretical developments, and applications from these researchers.
Описание: The book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
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