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Matrix Inequalities

2004-10-19 Mathematics
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Release : 2004-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 217/5 ( reviews)

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Book Synopsis Matrix Inequalities by : Xingzhi Zhan

Download or read book Matrix Inequalities written by Xingzhi Zhan. This book was released on 2004-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.

A Survey of Matrix Theory and Matrix Inequalities

1992-01-01 Mathematics
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Release : 1992-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 024/5 ( reviews)

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Book Synopsis A Survey of Matrix Theory and Matrix Inequalities by : Marvin Marcus

Download or read book A Survey of Matrix Theory and Matrix Inequalities written by Marvin Marcus. This book was released on 1992-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.

Linear Matrix Inequalities in System and Control Theory

1994-01-01 Mathematics
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Release : 1994-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 777/5 ( reviews)

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Book Synopsis Linear Matrix Inequalities in System and Control Theory by : Stephen Boyd

Download or read book Linear Matrix Inequalities in System and Control Theory written by Stephen Boyd. This book was released on 1994-01-01. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.

Advances in Matrix Inequalities

2021-07-11 Mathematics
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Release : 2021-07-11
Genre : Mathematics
Kind : eBook
Book Rating : 472/5 ( reviews)

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Book Synopsis Advances in Matrix Inequalities by : Mohammad Bagher Ghaemi

Download or read book Advances in Matrix Inequalities written by Mohammad Bagher Ghaemi. This book was released on 2021-07-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Linear Matrix Inequality Methods in Control

2000-01-01 Mathematics
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Release : 2000-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 833/5 ( reviews)

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Book Synopsis Advances in Linear Matrix Inequality Methods in Control by : Laurent El Ghaoui

Download or read book Advances in Linear Matrix Inequality Methods in Control written by Laurent El Ghaoui. This book was released on 2000-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control.

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