TY  - GEN
TY  - GEN
T1  - Introduction to Matrix Analysis and Applications
T2  - Universitext,
A1  - Hiai, Fumio.
A2  - Petz, Dénes.
LA  - English
PP  - Cham
PB  - Springer International Publishing : Imprint: Springer
YR  - 2014
ED  - 1st ed. 2014.
UL  - http://discoverylib.upm.edu.my/discovery/Record/978-3-319-04150-6
AB  - 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.
OP  - 332
CN  - QA184-205
SN  - 9783319041506
KW  - Matrix theory.
KW  - Algebra.
KW  - Linear and Multilinear Algebras, Matrix Theory.
ER  -