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＜電子ブック＞
Advances in Matrix Inequalities / by Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias, Reza Saadati
(Springer Optimization and Its Applications. ISSN:19316836 ; 176)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
本文言語	英語
大きさ	XII, 277 p. 1 illus : online resource
著者標目	*Ghaemi, Mohammad Bagher author Gharakhanlu, Nahid author Rassias, Themistocles M author Saadati, Reza author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Operator theory LCSH:Algebras, Linear LCSH:Approximation theory LCSH:Difference equations LCSH:Functional equations FREE:Functional Analysis FREE:Operator Theory FREE:Linear Algebra FREE:Approximations and Expansions FREE:Difference and Functional Equations
一般注記	1. Elementary linear algebra review -- 2. Interpolating the arithmetic-geometric mean inequality and its operator version -- 3. Operator inequalities for positive linear maps -- 4. Operator inequalities involving operator monotone functions -- 5. Inequalities for sector matrices -- 6. Positive partial transpose matrix inequalities -- References -- Index This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as well as combinatorial methods. Subjects such as operator Young inequalities, operator inequalities for positive linear maps, operator inequalities involving operator monotone functions, norm inequalities, inequalities for sector matrices are investigated thoroughly throughout this book which provides an account of a broad collection of classic and recent developments. Detailed proofs for all the main theorems and relevant technical lemmas are presented, therefore interested graduate and advanced undergraduate students will find the book particularly accessible. In addition to several areasof theoretical mathematics, Matrix Analysis is applicable to a broad spectrum of disciplines including operations research, mathematical physics, statistics, economics, and engineering disciplines. It is hoped that graduate students as well as researchers in mathematics, engineering, physics, economics and other interdisciplinary areas will find the combination of current and classical results and operator inequalities presented within this monograph particularly useful HTTP:URL=https://doi.org/10.1007/978-3-030-76047-2

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