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Introduction to Matrix Analysis and Applications [2014]

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Books : Textbook : English



Title: Introduction to Matrix Analysis and Applications
Series: Universitext
Authors: Fumio Hiai, Denes Petz 
Format: PDF
Hardcover: 337 pages
Publisher: Springer; 2014 edition (February 7, 2014)
Language: English
ISBN:
9783319041490

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.


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