Results 11 to 20 of about 13,378 (267)

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

On Two-Stage Guessing

open access: yesInformation, 2021
Stationary memoryless sources produce two correlated random sequences Xn and Yn. A guesser seeks to recover Xn in two stages, by first guessing Yn and then Xn.
Robert Graczyk, Igal Sason
doaj   +1 more source

Systematic Analysis of Majorization in Quantum Algorithms [PDF]

open access: yes, 2002
Motivated by the need to uncover some underlying mathematical structure of optimal quantum computation, we carry out a systematic analysis of a wide variety of quantum algorithms from the majorization theory point of view.
Latorre, Jose I.   +2 more
core   +2 more sources

Majorization, Csiszár divergence and Zipf-Mandelbrot law

open access: yesJournal of Inequalities and Applications, 2017
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.
Naveed Latif   +2 more
doaj   +1 more source

On the Grone-Merris conjecture [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
Grone and Merris [GM94] conjectured that the Laplacian spectrum of a graph is majorized by its conjugate vertex degree sequence. We prove that this conjecture holds for a class of graphs including trees.
Tamon Stephen
doaj   +1 more source

Subgroup majorization

open access: yesLinear Algebra and its Applications, 2014
The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as $G$-majorization. There are strong results in the case that $G$ is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and ...
Francis, Andrew R. (R7685)   +1 more
openaire   +4 more sources

Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions

open access: yesAxioms, 2023
In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete–Szegö functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions.
Muhammad Ghafar Khan   +3 more
doaj   +1 more source

An algorithm for constructing integral row stochastic matrices [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
Let  $\textbf{M}_{n}$ be  the set of all $n$-by-$n$ real  matrices, and let  $\mathbb{R}^{n}$ be  the set of all $n$-by-$1$ real (column) vectors. An $n$-by-$n$ matrix $R=[r_{ij}]$ with nonnegative entries is called row stochastic, if $\sum_{k=1}^{n} r_ ...
Asma Ilkhanizadeh Manesh
doaj   +1 more source

Linear preservers ‎of acu-majorization on ‎$‎‎\mathbb{R}^3‎$ and ‎$‎M_{3,m}‎$‎‎‎ [PDF]

open access: yesJournal of Mahani Mathematical Research
‎‎In this note, we present an equivalent condition for linear preservers of group majorization induced by closed subgroup $G$ of $O(\mathbb{R}^n)$. Moreover, a new concept of majorization  is defined on $\mathbb{R}^3$ as acu-majorization and this is ...
Mohammad Soleymani
doaj   +1 more source

f-Majorization with Applications to Stochastic Comparison of Extreme Order Statistics

open access: yesJournal of Statistical Theory and Applications (JSTA), 2018
In this paper, we use a new partial order, called f-majorization order. The new order includes as special cases the majorization, the reciprocal majorization and the p-larger orders.
Esmaeil Bashkar   +3 more
doaj   +1 more source

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