Introduction to matrix analysis and applications / Fumio Hiai, Dénes Petz.
| Author/creator | Hiai, Fumio, 1948- |
| Other author | Petz, Dénes, 1953- |
| Format | Electronic |
| Publication Info | Cham ; New York : Springer ; New Delhi : Hindustan Book Agency, [2014] |
| Description | viii, 332 pages ; 24 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Universitext, 0172-5939 |
| Contents | 1. Fundamentals of operators and matrices -- 2. Mappings and algebras -- 3. Functional calculus and derivation -- 4. Matrix monotone functions and convexity -- 5. Matrix means and inequalities -- 6. Majorization and singular values -- 7. Some applications. |
| Summary | 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. -- Source other than Library of Congress. |
| General note | A co-publication with the Hindustan Book Agency, New Delhi, licensed for sale in all countries outside of India. Sold and distributed within India by the Hindustan Book Agency, P 19 Green Park Extension, New Delhi, India. |
| Bibliography note | Includes bibliographical references (pages 323-326) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2013957552 |
| ISBN | 9783319041490 (Springer pbk.) |
| ISBN | 3319041495 (Springer pbk.) |
| ISBN | 9789380250601 (Hindustan Book Agency pbk.) |
| ISBN | 9380250606 (Hindustan Book Agency pbk.) |
| ISBN | (eBook) |
| ISBN | (eBook) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |