书目名称 | Matrix and Operator Equations and Applications |
编辑 | Mohammad Sal Moslehian |
视频video | |
概述 | Suitable for both researchers and graduate students with a basic knowledge of operator theory.Includes the latest developments in matrix and operator equations.Contains contributions by a number of sp |
丛书名称 | Mathematics Online First Collections |
图书封面 |  |
描述 | .This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades...The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations...In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which fre |
出版日期 | Book 2023 |
关键词 | Operator equation; Matrix equation; Split quaternion; Differential equation; Numerical range; Matrix quad |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-25386-7 |
isbn_softcover | 978-3-031-25388-1 |
isbn_ebook | 978-3-031-25386-7Series ISSN 2730-633X Series E-ISSN 2730-6348 |
issn_series | 2730-633X |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |