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Some Results on Majorization of Matrices

open access: yesAxioms, 2022
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
exaly   +3 more sources

Continuous majorization in quantum phase space [PDF]

open access: yesQuantum, 2023
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
doaj   +1 more source

Majority Rule in the Absence of a Majority [PDF]

open access: yesSSRN Electronic Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klaus Nehring, Marcus Pivato
openaire   +4 more sources

Chromatic number and signless Laplacian spectral radius of graphs [PDF]

open access: yesTransactions on Combinatorics, 2022
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
doaj   +1 more source

Majority judgment vs. majority rule [PDF]

open access: yesSocial Choice and Welfare, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Balinski, Rida Laraki
openaire   +3 more sources

Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

open access: yesAxioms, 2023
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
doaj   +1 more source

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

open access: yesJournal of Inequalities and Applications, 2020
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
doaj   +1 more source

Strong majorization uncertainty relations and experimental verifications

open access: yesnpj Quantum Information, 2023
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
doaj   +1 more source

Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy

open access: yesAdvances in Difference Equations, 2020
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
doaj   +1 more source

Majors of Functions [PDF]

open access: yesOrder, 2017
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
openaire   +4 more sources

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