000 | 03047nam a22005055i 4500 | ||
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001 | 978-3-540-45421-2 | ||
003 | DE-He213 | ||
005 | 20190213151418.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540454212 _9978-3-540-45421-2 |
||
024 | 7 |
_a10.1007/b83956 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
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072 | 7 |
_aMAT002000 _2bisacsh |
|
072 | 7 |
_aPBF _2thema |
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082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aZhan, Xingzhi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aMatrix Inequalities _h[electronic resource] / _cby Xingzhi Zhan. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
|
300 |
_aVIII, 124 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1790 |
|
505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aMatrix theory. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aLinear and Multilinear Algebras, Matrix Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11094 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662176696 |
776 | 0 | 8 |
_iPrinted edition: _z9783540437987 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1790 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b83956 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10579 _d10579 |