03548nam 22007095 450 991014494160332120211119121820.03-540-45421-710.1007/b83956(CKB)1000000000233269(SSID)ssj0000324715(PQKBManifestationID)11246407(PQKBTitleCode)TC0000324715(PQKBWorkID)10320144(PQKB)10907949(DE-He213)978-3-540-45421-2(MiAaPQ)EBC6296522(MiAaPQ)EBC5576554(Au-PeEL)EBL5576554(OCoLC)1066178447(PPN)155203398(EXLCZ)99100000000023326920121227d2002 u| 0engurnn#008mamaatxtccrMatrix Inequalities /by Xingzhi Zhan1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (VIII, 124 p.)Lecture Notes in Mathematics,0075-8434 ;1790Bibliographic Level Mode of Issuance: Monograph3-540-43798-3 Includes bibliographical references (pages [110]-114) and index.Inequalities 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.The 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.Lecture Notes in Mathematics,0075-8434 ;1790AlgebraMatrix theoryOperator theoryAlgebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Algebra.Matrix theory.Operator theory.Algebra.Linear and Multilinear Algebras, Matrix Theory.Operator Theory.512.943415A45msc15A18mscZhan Xingzhiauthttp://id.loc.gov/vocabulary/relators/aut478899MiAaPQMiAaPQMiAaPQBOOK9910144941603321Matrix inequalities262196UNINA