书目名称 | Introduction to Matrix Analysis and Applications |
编辑 | Fumio Hiai,Dénes Petz |
视频video | |
概述 | 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. |
丛书名称 | Universitext |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2014 |
关键词 | Block Matrix; Cramér–Rao Inqualtity; Eigenvalue; Entropy; Functional Calculus; Hilbert Space; Jordan Canon |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-04150-6 |
isbn_softcover | 978-3-319-04149-0 |
isbn_ebook | 978-3-319-04150-6Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Hindustan Book Agency 2014 |