Overview
- Based on lectures from Tohoku University and the Budapest University of Technology and Economics
- Provides a strong emphasis to various areas of quantum theory, particularly quantum information theory
- Covers classical topics and recent advances in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (7 chapters)
Keywords
About this book
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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Bibliographic Information
Book Title: Introduction to Matrix Analysis and Applications
Authors: Fumio Hiai, Dénes Petz
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-319-04150-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Hindustan Book Agency 2014
Softcover ISBN: 978-3-319-04149-0Published: 20 February 2014
eBook ISBN: 978-3-319-04150-6Published: 06 February 2014
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: VIII, 332
Number of Illustrations: 3 b/w illustrations
Additional Information: Jointly published with Hindustan Book Agency, New Delhi, India