Introduction to Matrix Analysis and Applications

Dénes Petz

ISBN 10: 3319041495 / ISBN 13: 9783319041490

Editore: Springer International Publishing, 2014

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Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783319041490

Dati bibliografici

Titolo: Introduction to Matrix Analysis and ...

Casa editrice: Springer International Publishing

Data di pubblicazione: 2014

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

This book examines 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.

Recensione:

“This volume, written in a clear and elegant style, provides a nice introduction to this actively studied area. It 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.” (László Kérchy, Acta Scientiarum Mathematicarum, Vol. 82 (1-2), 2016)