Inequalities : theory of majorization and its applications

This book s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. Inequalities: Theory of Majorization and its Applications merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. This work is...

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Bibliographic Details
Main Authors: Marshall, Albert W., 19..-, Olkin, Ingram, 1924-2016 (Author), Arnold, Barry C., 1939- (Author)
Format: Livre numérique
Language:Anglais
Published: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edition:2nd Edition.
Series:Springer Series in Statistics
Subjects:
Online Access:Accès sur la plateforme de l'éditeur (Springer)
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Accès Université d'Orléans
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Note: Description d'après consultation du 19 avril 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Inequalities, theory of majorization and its applications, Albert W. Marshall, Ingram Olkin, Barry C. Arnold, 2nd edition, 2011, New York, Springer, 1 vol. (XXVII-909 p.), Springer series in statistics, 978-0-387-40087-7
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504 |a Bibliogr. p. 812-877 Index p. 878-905 
505 1 |a Introduction Doubly Stochastic Matrices Schur-Convex Functions Equivalent Conditions for Majorization Preservation and Generation of Majorization Rearrangements and Majorization Combinatorial Analysis Geometric Inequalities Matrix Theory Numerical Analysis Stochastic Majorizations Probabilistic, Statistical, and Other Applications Additional Statistical Applications Orderings Extending Majorization Multivariate Majorization Convex Functions and Some Classical Inequalities Stochastic Ordering Total Positivity Matrix Factorizations, Compounds, Direct Products, and M-Matrices Extremal Representations of Matrix Functions 
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520 |a This book s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. Inequalities: Theory of Majorization and its Applications merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. This work is a valuable resource! (Mathematical Reviews). The authors present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization. (Siam Review). The appearance of Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines probability, geometry, statistics, operations research, etc. this work was a revelation to those of us who had been trying to make sense of his own corner of this material. (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled 
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