Theory of majorization and its applications
Webb24 aug. 2024 · In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities. We give some generalized results for majorization inequality using Csiszár f-divergence. This … WebbA. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications [Russian translation], Mir, Moscow (1983). A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [~n Russian],
Theory of majorization and its applications
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WebbEditions for Inequalities: Theory of Majorization and Its Applications: 0387400877 (Hardcover published in 2010), 1493938274 (Paperback published in 2016... Webb6 dec. 2014 · Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.
WebbFOR CONVEX FUNCTIONS VIA WEAK SUB–MAJORIZATION ... R. BHATIA ANDC. DAVIS, A Cauchy-Schwarz inequality for operators with applications, Linear Algebra Appl. 223/224 … WebbThis paper is focused on the derivation of data-processing and majorization inequalities for f-divergences, and their applications in information theory and statistics. For the …
Webb1 juli 2016 · A new ordering for stochastic majorization: theory and applications Part of: Special processes Distribution theory - Probability Published online by Cambridge University Press: 01 July 2016 Cheng-Shang Chang Article Metrics Get access Share Cite Rights & Permissions Abstract Webb15 jan. 2024 · Inequalities: Theory of Majorization and Its Applications (second ed.), Springer, New York (2011) Google Scholar [11] F.D. Martínez Pería, Pedro G. Massey, Luis E. Silvestre. Weak matrix majorization. Linear Algebra Appl., 403 (2005), pp. 343-368. View PDF View article View in Scopus Google Scholar
Webb13 okt. 2015 · Relative submajorization and its use in quantum resource theories. Joseph M. Renes. We introduce and study a generalization of majorization called relative submajorization and show that it has many applications to the resource theories of thermodynamics, bipartite entanglement, and quantum coherence. In particular, we …
WebbCORE – Aggregating the world’s open access research papers grech\\u0027s turf supplies windsor nswWebbFor certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the … grechuta anawaWebb1 aug. 2011 · Inequalities: Theory of Majorization and Its Applications, Second Edition by Albert W. Marshall, Ingram Olkin, Barry C. Arnold Puntanen, Simo International Statistical Review, Volume 79 (2) – Aug 1, 2011 Download PDF Share Full Text for Free (beta) 30 pages Article Details Recommended References Bookmark Add to Folder Cite Social … grech\u0027s turfWebbBook Title: Inequalities: Theory of Majorization and Its Applications. Authors: Albert W. Marshall, Ingram Olkin, Barry C. Arnold. Series Title: … grech warrantyWebbInequalities: Theory of Majorization and Its Applications Inequalities: Theory of Majorization and Its Applications Albert W. Marshall Department of Mathematics University of British Columbia Vancouver, British Columbia Canada Ingram Olkin Department of Statistics Stanford University Stanford, California 1979 ACADEMIC PRESS grech\\u0027s turf suppliesWebb2 aug. 2011 · Inequalities: Theory of Majorization and Its Applications, Second Edition by Albert W. Marshall, Ingram Olkin, Barry C. Arnold Simo Puntanen, Simo Puntanen School of Information Sciences, FI-33014, University of Tampere, Finland [email protected] Search for more papers by this author Simo Puntanen, Simo Puntanen School of … grechuta tomasz ortopedaWebb10 juli 2006 · Inequalities: Theory of Majorization and Its Applications (Albert W. Marshall and Ingram Olkin) SIAM Review Home SIAM Review Vol. 24, Iss. 1 (1982) … florist newcomerstown ohio