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Introduction to matrix analysis and applications /

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 struc...

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Bibliographic Details
Main Authors: Hiai, Fumio, 1948-, (Author), Petz, Dénes, 1953-, (Author)
Corporate Author: SpringerLink (Online service)
Format: Online Book
Language:English
Published: Cham : Springer, 2014.
Series:Universitext,
Subjects:
Online Access:Online version
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040 |a GW5XE  |b eng  |e rda  |e pn  |c GW5XE 
020 |a 9783319041506 (electronic bk.) 
020 |a 3319041509 (electronic bk.) 
020 |z 9783319041490 
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035 |a (OCoLC)878069925 
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100 1 |a Hiai, Fumio,  |d 1948-,  |e author. 
245 1 0 |a Introduction to matrix analysis and applications /  |c Fumio Hiai, Dénes Petz. 
264 1 |a Cham :  |b Springer,  |c 2014. 
300 |a 1 online resource (viii, 332 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Universitext,  |x 0172-5939 
505 0 |a 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. 
520 |a 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. 
588 |a Description based on online resource; title from PDF title page (SpringerLink, viewed April 24, 2014). 
506 |a Electronic access restricted to Villanova University patrons. 
650 0 |a Matrices. 
650 1 4 |a Mathematics. 
650 2 4 |a Linear and Multilinear Algebras, Matrix Theory. 
655 4 |a Electronic books. 
700 1 |a Petz, Dénes,  |d 1953-,  |e author. 
710 2 |a SpringerLink (Online service) 
830 0 |a Universitext,  |x 0172-5939 
856 4 0 |z Online version  |u http://ezproxy.villanova.edu/login?URL=http://dx.doi.org/10.1007/978-3-319-04150-6 
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