東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Advances in matrix inequalities

Ghaemi, Mohammad Bagher.

Linked to FindBook

Google Book

Amazon

博客來

Advances in matrix inequalities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advances in matrix inequalities/ by Mohammad Bagher Ghaemi ... [et al.].
other author:	Ghaemi, Mohammad Bagher.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xii, 277 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Matrix inequalities. -
Online resource:	https://doi.org/10.1007/978-3-030-76047-2
ISBN:	9783030760472

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.176..

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

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

735196
Matrix inequalities.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Advances in matrix inequalities
LDR:02875nmm a2200337 a 4500 001 2244871
003 DE-He213
005 20210711001145.0
006 m d
007 cr nn 008maaau
008 211207s2021 sz s 0 eng d
020 $a 9783030760472 $q (electronic bk.)
020 $a 9783030760465 $q (paper)
024 7 $a 10.1007/978-3-030-76047-2 $2 doi
035 $a 978-3-030-76047-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA188
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 512.9434 $2 23
090 $a QA188 $b .A244 2021
245 0 0 $a Advances in matrix inequalities $h [electronic resource] / $c by Mohammad Bagher Ghaemi ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xii, 277 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer optimization and its applications, $x 1931-6828 ; $v v.176
505 0 $a 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.
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.
650 0 $a Matrix inequalities. $3 735196
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Linear Algebra. $3 3338825
650 2 4 $a Approximations and Expansions. $3 897324
650 2 4 $a Difference and Functional Equations. $3 897290
700 1 $a Ghaemi, Mohammad Bagher. $3 3506180
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer optimization and its applications ; $v v.176. $3 3506181
856 4 0 $u https://doi.org/10.1007/978-3-030-76047-2
950 $a Mathematics and Statistics (SpringerNature-11649)