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100   $a20121227d2002      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMatrix Inequalities$b[electronic resource] /$fby Xingzhi Zhan
205   $a1st ed. 2002.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002.
215   $a1 online resource (VIII, 124 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1790
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-43798-3 
320   $aIncludes bibliographical references (pages [110]-114) and index.
327   $aInequalities in the Loewner Partial Order: The Loewner-Heinz inequality; Maps on matrix spaces; Inequalities for matrix powers; Block matrix techniques -- Majorization and Eigenvalues: Majorizations; Eigenvalues of Hadamard products; Singular Values: Matrix Young inequalities; Singular values of Hadamard products; Differences of positive semidefinite matrices; Matrix Cartesian decompositions; Singular values and matrix entries -- Norm Inequalities: Operator monotone functions; Cartesian decompositions revisited; Arithmetic-geometric mean inequalities; Inequalities of Holder and Minkowski types; Permutations of matrix entries; The numerical radius; Norm estimates of banded matrices -- Solution of the van der Waerden Conjecture.
330   $aThe main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1790
606   $aAlgebra
606   $aMatrix theory
606   $aOperator theory
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aAlgebra.
615  0$aMatrix theory.
615  0$aOperator theory.
615 14$aAlgebra.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aOperator Theory.
676   $a512.9434
686   $a15A45$2msc
686   $a15A18$2msc
700   $aZhan$b Xingzhi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478899
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466615103316
996   $aMatrix inequalities$9262196
997   $aUNISA