000			02013nam a22002657a 4500
999			_c58589 _d58589
005			20211112130355.0
008			211112b ||||| |||| 00| 0 eng d
020			_a9789380250601
028			_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2892 _d:02/11/2021
082			_a512.9434 HIA
100			_aHiai, Fumio
245			_a Introduction to matrix analysis and applications _c/ Fumio Hiai & Dénes Petz
260			_aNew Delhi _b:Hindustan Book Agency _c2014
300			_aviii, 332 pages _c24cm.
365			_b590
490			_aTexts in Reading in Mathematics 70
505			_a Fundamentals of operators and matrices -- Mappings and algebras -- Functional calculus and derivation -- Matrix monotone functions and convexity -- Matrix means and inequalities -- Majorization and singular values -- Some applications.
520			_a 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
650			_aMathematics
650			_aAlgebra
650			_aMatrices.
700			_aHiai, Fumio,
700			_aPetz, Dénes
942			_cMDL