Description 
1 online resource (viii, 332 pages) : illustrations 
Series 
Universitext, 01725939 

Universitext, 01725939

Contents 
Fundamentals of operators and matrices  Mappings and algebras  Functional calculus and derivation  Matrix monotone functions and convexity  Matrix means and inequalities  Majorization and singular values  Some applications 
Summary 
Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics 
Notes 
English 

Online resource; title from PDF title page (SpringerLink, viewed April 24, 2014) 
Subject 
Matrices.


Matrices.

Form 
Electronic book

Author 
Petz, Dénes, 1953 author.

ISBN 
9783319041506 

3319041509 

3319041495 

9783319041490 

9789380250601 

9380250606 
