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Advances in matrix inequalities

Ghaemi, Mohammad Bagher.

Advances in matrix inequalities

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in matrix inequalitiesby Mohammad Bagher Ghaemi ... [et al.].
其他作者:	Ghaemi, Mohammad Bagher.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xii, 277 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Matrix inequalities.
電子資源:	https://doi.org/10.1007/978-3-030-76047-2
ISBN:	9783030760472$q(electronic bk.)

Advances in matrix inequalities
Advances in matrix inequalities[electronic resource] /by Mohammad Bagher Ghaemi ... [et al.]. - Cham :Springer International Publishing :2021. - xii, 277 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1761931-6828 ;. - Springer optimization and its applications ;v. 3..

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 areas of 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.

ISBN: 9783030760472$q(electronic bk.)

Standard No.: 10.1007/978-3-030-76047-2doiSubjects--Topical Terms:

229142
Matrix inequalities.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

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520 $a 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 areas of 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.
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