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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.

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.

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.

Matrix Inequalities and Their Extensions to Lie Groups

2018-03-14 Mathematics
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Release : 2018-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 283/5 ( reviews)

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Book Synopsis Matrix Inequalities and Their Extensions to Lie Groups by : Tin-Yau Tam

Download or read book Matrix Inequalities and Their Extensions to Lie Groups written by Tin-Yau Tam. This book was released on 2018-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.

An Introduction to Matrix Concentration Inequalities

2015-05-27 Computers
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Release : 2015-05-27
Genre : Computers
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis An Introduction to Matrix Concentration Inequalities by : Joel Tropp

Download or read book An Introduction to Matrix Concentration Inequalities written by Joel Tropp. This book was released on 2015-05-27. Available in PDF, EPUB and Kindle. Book excerpt: Random matrices now play a role in many areas of theoretical, applied, and computational mathematics. It is therefore desirable to have tools for studying random matrices that are flexible, easy to use, and powerful. Over the last fifteen years, researchers have developed a remarkable family of results, called matrix concentration inequalities, that achieve all of these goals. This monograph offers an invitation to the field of matrix concentration inequalities. It begins with some history of random matrix theory; it describes a flexible model for random matrices that is suitable for many problems; and it discusses the most important matrix concentration results. To demonstrate the value of these techniques, the presentation includes examples drawn from statistics, machine learning, optimization, combinatorics, algorithms, scientific computing, and beyond.

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