Introduction to Matrix Analysis and Applications
Summary
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Introduction to Matrix Analysis and Applications by Fumio Hiai
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.
“This volume, written in a clear and elegant style, provides a nice introduction to this actively studied areaIt 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)
Fumio Hiai is an Emeritus Professor at the Graduate School of Information Science, Tohoku University, Sendai, Japan, whose research interests are operator theory, operator algebras and quantum probability. He published more than 95 papers and several books on various subjects of mathematics, including more than 20 papers on matrix analysis. His recent interest is also quantum information.
| SKU | NGR9783319041490 |
| ISBN 13 | 9783319041490 |
| ISBN 10 | 3319041495 |
| Title | Introduction to Matrix Analysis and Applications |
| Author | Fumio Hiai |
| Series | Universitext |
| Condition | New |
| Binding Type | Paperback |
| Publisher | Springer International Publishing AG |
| Year published | 2014-02-20 |
| Number of pages | 332 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time |
