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010   $a3-319-04150-9
024 7 $a10.1007/978-3-319-04150-6
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035   $a(EBL)1697733
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035   $a(DE-He213)978-3-319-04150-6
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035   $a(MiAaPQ)EBC1697733
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100   $a20140206d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to Matrix Analysis and Applications /$fby Fumio Hiai, Dénes Petz
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (337 p.)
225 1 $aUniversitext,$x2191-6675
300   $aDescription based upon print version of record.
311 08$a3-319-04149-5 
320   $aIncludes bibliographical references and index.
327   $aFundamentals 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.
330   $aMatrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.
410  0$aUniversitext,$x2191-6675
606   $aAlgebras, Linear
606   $aLinear Algebra
615  0$aAlgebras, Linear.
615 14$aLinear Algebra.
676   $a512.9434
686   $a510$2sdnb
686   $aSK 220$2rvk
700   $aHiai$b Fumio$4aut$4http://id.loc.gov/vocabulary/relators/aut$062654
702   $aPetz$b Dénes$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300143003321
996   $aIntroduction to Matrix Analysis and Applications$92528336
997   $aUNINA