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Some Results on Majorization of Matrices
For two n×m real matrices X and Y, X is said to be majorized by Y, written as X≺Y if X=SY for some doubly stochastic matrix of order n. Matrix majorization has several applications in statistics, wireless communications and other fields of science and ...
Kanagasabapathi Somasundaram
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Continuous majorization in quantum phase space [PDF]
We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continuous version of majorization theory provides an elegant and very natural ...
Zacharie Van Herstraeten +2 more
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Majority Rule in the Absence of a Majority [PDF]
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Klaus Nehring, Marcus Pivato
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Chromatic number and signless Laplacian spectral radius of graphs [PDF]
For any simple graph $G$, the signless Laplacian matrix of $G$ is defined as $D(G)+A(G)$, where $D(G)$ and $A(G)$ are the diagonal matrix of vertex degrees and the adjacency matrix of $G$, respectively.
Mohammad Reza Oboudi
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Majority judgment vs. majority rule [PDF]
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Michel Balinski, Rida Laraki
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In the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities.
Abdul Basir +5 more
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This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique +3 more
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Strong majorization uncertainty relations and experimental verifications
In spite of enormous theoretical and experimental progress in quantum uncertainty relations, the experimental investigation of the most current, and universal formalism of uncertainty relations, namely majorization uncertainty relations (MURs), has not ...
Yuan Yuan +7 more
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In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
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A function \(f\) from the \(n\)-th power of \(A\) to \(B\) is called a minor of another function \(g\) from the \(m\)-th power of \(A\) to \(B\), or \(g\) is a major of \(f\), if \(f\) can be obtained from \(g\) by identification of arguments, permutation of arguments, or introduction or deletion of inessential arguments. The minor relation constitutes
Couceiro, Miguel, Lehtonen, Erkko
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