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Majorization and Matrix-monotone Functions in Wireless Communications

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Author :
Release : 2007
Genre : Technology & Engineering
Kind : eBook
Book Rating : 40X/5 ( reviews)

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Book Synopsis Majorization and Matrix-monotone Functions in Wireless Communications by : Eduard Jorswieck

Download or read book Majorization and Matrix-monotone Functions in Wireless Communications written by Eduard Jorswieck. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Majorization Theory and Matrix-Monotone Functions in Wireless Communications, reviews the basic definitions of Majorization Theory and Matrix-Monotone Functions, describing their concepts clearly with many illustrative examples. In addition to this tutorial, new results are presented with respect to Schur-convex functions and regarding the properties of matrix-monotone functions. The approach taken by the authors provides a valuable overview of the basic techniques for readers who are new to the subject. They then proceed to show in separate chapters the cutting edge applications of the two basic theories in wireless communications. Majorization Theory and Matrix-Monotone Functions in Wireless Communications is an invaluable resource for students, researchers and practitioners involved in the state-of-the-art design of wireless communication systems.

Matrix Theory

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Release : 2011-08-28
Genre : Mathematics
Kind : eBook
Book Rating : 991/5 ( reviews)

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Book Synopsis Matrix Theory by : Fuzhen Zhang

Download or read book Matrix Theory written by Fuzhen Zhang. This book was released on 2011-08-28. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields. Major changes in this revised and expanded second edition: -Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms -A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices -A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms.

Cooperative Communications for Improved Wireless Network Transmission: Framework for Virtual Antenna Array Applications

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Release : 2009-07-31
Genre : Computers
Kind : eBook
Book Rating : 661/5 ( reviews)

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Book Synopsis Cooperative Communications for Improved Wireless Network Transmission: Framework for Virtual Antenna Array Applications by : Uysal, Murat

Download or read book Cooperative Communications for Improved Wireless Network Transmission: Framework for Virtual Antenna Array Applications written by Uysal, Murat. This book was released on 2009-07-31. Available in PDF, EPUB and Kindle. Book excerpt: Offers practitioners, researchers, and academicians with fundamental principles of cooperative communication. This book provides readers diverse findings and exposes underlying issues in the analysis, design, and optimization of wireless systems.

Scalar, Vector, and Matrix Mathematics

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Release : 2018-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 255/5 ( reviews)

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Book Synopsis Scalar, Vector, and Matrix Mathematics by : Dennis S. Bernstein

Download or read book Scalar, Vector, and Matrix Mathematics written by Dennis S. Bernstein. This book was released on 2018-02-27. Available in PDF, EPUB and Kindle. Book excerpt: The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Matrix Mathematics

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Author :
Release : 2009-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 345/5 ( reviews)

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Book Synopsis Matrix Mathematics by : Dennis S. Bernstein

Download or read book Matrix Mathematics written by Dennis S. Bernstein. This book was released on 2009-07-06. Available in PDF, EPUB and Kindle. Book excerpt: When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing

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