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| | Majorization - Wikipedia, the free encyclopedia |
 | | The majorization partial order on finite sets can be generalized to the Lorenz ordering, a partial order on distribution functions. | | | "Majorization and the Lorenz Order: A Brief Introduction". | | | Majorization is a partial order over sets of real numbers. |
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http://en.wikipedia.org/wiki/Majorization
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| | POP --- Partial Order Programming |
| | Majorization is an important partial order on multisets. | | | Majorization with respect to a partial order is shown to be a special case of majorization as exchangeability. | | | Generalized majorization is not a total order, but a preorder. |
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http://www.cs.ucla.edu/~stott/pop
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| | Letter to the Editor |
| | In particular, reselling and systematic downloading of files is prohibited. | | | Varying the stages at which the quantum coin system is traced out leads to new quantum walks, including a symmetric walk for which majorization ordering is valid but the spreading rate exceeds that of the usual symmetric quantum walk. | | | The Lorenz curves of successive distributions for a symmetric quantum walk reveal no majorization ordering in general. |
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http://stacks.iop.org/0305-4470/37/L91
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| | Citebase - Systematic Analysis of Majorization in Quantum Algorithms |
| | Comment: LaTeX, 19 pages, 2 figures, minor corrections added | | | Grover's algorithm is a neat instance of this principle where majorization works step by step until the optimal target state is found. | | | We apply majorization theory to study the quantum algorithms known so far and find that there is a majorization principle underlying the way they operate. |
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http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:quant-ph/0212094
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| | PlanetMath: majorization |
| | This is version 4 of majorization, born on 2004-07-28, modified 2004-07-28. | | | Object id is 6043, canonical name is Majorization. | | | Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, 1979, Acadamic Press, New York. |
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http://planetmath.org/encyclopedia/Majorize.html
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| | Serbia Info News / Five days in Kosovo-Metohija |
| | Milan Ivanovic, president of the Political Committee for the Defense of Kosovo-Metohija, stated that the situation was more difficult and dangerous than before, and that Kosovo Serbs cannot accept majorization. | | | Kosovo Serbs believe that the majority of bodies at this cemetery are of Serb nationality. | | | Six Serb corpses were identified, and one of them - the body of Petrija Pavlovic was returned to her family. |
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http://www.serbia-info.com/news/2001-09/22/25521.html
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| | ON NEW MAJORIZATION THEOREMS |
| | In this paper we shall give related results in the case when only one sequence is monotonic. | | | The subject of majorization is treated extensively, see, for instance, [1, 5] and [4] and their references. | | | These results form extensions of theorems of Kolumban and Mocanu [2], Toader [8] and Maligranda, Pecaric and Persson [3], as well as results from [5, pp. |
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http://math.la.asu.edu/~rmmc/rmj/VOL27-3/PECA
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| | Weighted majorization algorithms for weighted least squares decomposition models |
| | Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using | | | Simulation studies show that weighted majorization is generally faster than the method by Kiers by a factor one to four and obtains the same or better quality solutions. | | | If you experience problems downloading a file, check if you have the proper application to view it first. |
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http://ideas.repec.org/p/dgr/eureir/2003314.html
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| | Matrix Majorization (ResearchIndex) |
| | Please bear with us while we fix the problem. | | | Abstract: We study the concept matrix majorization: for two real matrices A and B having m rows we say that A majorizes B if there is a row-stochastic matrix X with AX = B. A special case is classical notion of vector majorization. | | | Several properties and characterizations of matrix majorization are given. |
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http://citeseer.ist.psu.edu/54167.html
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| | AoPS Math Forum :: View topic - majorization |
| | Powered by phpBB © 2001, 2002 phpBB Group | | | Posted: Tue Jun 14, 2005 10:02 am Post subject: majorization | | | Posted: Tue Jun 14, 2005 11:11 am Post subject: Re: majorization |
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http://www.artofproblemsolving.com/Forum/post-258376.html
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| | Student Publications |
| | An optimization problem is greedy solvable if the objective function is Schur-convex on the set of feasible answers when the majorization relation is a topped partial order. | | | We define a very useful partial order relation on sequences called majorization and immediately see the intimate relationship between greed and majorization. | | | The order preserving morphisms are traditionally the major focus of program semantics, and in particular, domain theory and denotational semantics, which typically capture order as increase in information. |
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http://www.cs.ucla.edu/~stott/spub
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| | EconPapers: Rank Reduction of Correlation Matrices by Majorization |
| | A simulation study suggests that majorization compares favourably with competing approaches in terms of the quality of the solution within a fixed computational time. | | | The problem of rank reduction of correlation matrices occurs when pricing a derivative dependent on a large number of assets, where the asset prices are modelled as correlated log-normal processes. | | | The algorithm is computationally efficient, is straightforward to implement, and can handle arbitrary weights on the entries of the correlation matrix. |
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http://econpapers.repec.org/paper/wpawuwpfi/0502006.htm
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| | Optimal Allocation Using Majorization & Schur Convex Functions |
| | This is done by using ideas from majorization and Schur convex functions. | | | We will discuss several examples and describe some principles for choosing the optimal allocation of components to maximize reliability or some other property of the system. | | | WA19.1 Optimal Allocation Using Majorization & Schur Convex Functions Jayaram Sethuraman, Emad El-Neweihi --- FL State U, Dept. of Statistics, Tallahassee, FL 32308, |
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http://www.informs.org/Conf/WA96/TALKS/WA19.1.html
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| | R: Majorization |
| | Marshall / Olkin: Inequalities: Theory of Majorization and Its Applications, New York 1979 (Academic Press) | | | have same length and same mean) it is possible that neither x majorizes y nor y majorizes x. | | | # generate vectors (of incomes) x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261) y <- c(841, 2063, 2445, 3438, 4437, 5401, 6392, 8304, 11304, 21961) # test whether x majorizes y (TRUE, because y is result of # Pigou-Dalton-transfers) major(x,y) |
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http://pbil.univ-lyon1.fr/library/ineq/html/major.html
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| | Bibliography of John J. Gumperz |
| | Minority Demands, Majority Reactions In: C Fried (ed.), Minorities: Community and Identity. |
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http://sunsite.berkeley.edu/Anthro/gumperz/gumppub.html
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| | VOC - Publications |
| | Temporal aspects related to the perception of skatole and androstenone, the major boar odour compounds. | | | Groenen, P.J.F. and Heiser, W.J. Iterative majorization algorithms in statistical computing. | | | Kiers HAL (2002) Setting up alternating least squares and iterative majorization algorithms for solving various matrix optimization problems, Computational Statistics and Data Analysis, 41, 157-170. |
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http://www.voc.ac/html/publi.htm
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| | TI Publications |
| | Groenen, R. Mathar, W. Heiser: The majorization approach to multidimensional scaling for Minkowski distances. |
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http://www.ti.rwth-aachen.de/publications
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| | Statistics Department Technical Reports |
| | Reflection groups, generalized Schur functions, and the geometry of majorization. | | | An inequality for multivariate normal probabilities with application to a design problem. |
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http://www.stat.uchicago.edu/research/techreports.html
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| | Journal of Classification ToC |
| | The Majorization Approach to Multidimensional Scaling: Some Problems and Extensions, by P.J.G.Groenen - 241 | | | The Majorization Approach to Multidimensional Scaling for Minkowski Distances - 3 | | | Radial Basis Functions for Exploratory Data Analysis: An Iterative Majorisation Approach for Minkowski Distances Based on Multidimensional Scaling - 249 |
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http://www.pitt.edu/~csna/joc.contents.html
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| | [No title] |
| | Linear Algebra and its Applications Contents Volume 199 Leon Jay Gleser (West Lafayette, Indiana), Michael D. Perlman (Seattle, Washington), S. James Press (Riverside, California), and Allan R. Sampson (Pittsburgh, Pennsylvania) A Brief Biography and Appreciation of Ingram Olkin 1 T. | | | Ando (Sapporo, Japan) Majorizations and Inequalities in Matrix Theory 17 Y. | | | Ferrer, Ma I. Garcia, and F. Puerta (Barcelona, Spain) Differentiable Families of Subspaces 229 M*Ua Asuncion Beitia and Juan M. Gracia (Vitoria-Gasteiz, Spain) Local Behavior of Sylvester Matrix Equations Related to Block Similarity 253 R. |
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http://www.utdallas.edu/eecs/scad/scad/journalcontents/LAA/Vol199
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| | References |
| | Webb, A. Multidimensional scaling by iterative majorization using radial basis functions. | | | Wish, M. and Carroll, J. Multidimensional scaling and its applications. |
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http://www.cis.hut.fi/~sami/thesis/node55.html
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