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Weighted arithmetic–geometric operator mean inequalities
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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On the Lawson–Lim means and Karcher mean for positive invertible operators
Journal of Inequalities and Applications, 2018 This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher ...
Wenshi Liao +3 more
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Sensors, 2022 The search algorithm based on symbiotic organisms’ interactions is a relatively recent bio-inspired algorithm of the swarm intelligence field for solving numerical optimization problems. It is meant to optimize applications based on the simulation of the
Ajoze Abdulraheem Zubair +7 more
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Diffusion means in geometric spaces [PDF]
Bernoulli, 2023 We introduce a location statistic for distributions on non-linear geometric spaces, the diffusion mean, serving as an extension and an alternative to the Fréchet mean. The diffusion mean arises as the generalization of Gaussian maximum likelihood analysis to non-linear spaces by maximizing the likelihood of a Brownian motion. The diffusion mean depends
Eltzner, Benjamin +3 more
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A Geometric Approach to $k$-means
CoRR, 2022 \kmeans clustering is a fundamental problem in many scientific and engineering domains. The optimization problem associated with \kmeans clustering is nonconvex, for which standard algorithms are only guaranteed to find a local optimum. Leveraging the hidden structure of local solutions, we propose a general algorithmic framework for escaping ...
Jiazhen Hong +3 more
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Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application [PDF]
Neutrosophic Sets and Systems, 2018 This paper describes neutrosophic goal geometric programming method, a new concept to solve multi-objective non-linear optimization problem under uncertainty.
Sahidul Islam, Tanmay Kundu
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Consensus Driven by the Geometric Mean [PDF]
IEEE Transactions on Control of Network Systems, 2018 Consensus networks are usually understood as arithmetic mean driven dynamical averaging systems. In applications, however, network dynamics often describe inherently non-arithmetic and non-linear consensus processes. In this paper, we propose and study three novel consensus protocols driven by geometric mean averaging: a polynomial, an entropic, and a ...
Herbert Mangesius +2 more
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Comparing Different Specifications of Mean–Geometric Mean Linking
FoundationsMean–geometric mean (MGM) linking compares group differences on a latent variable θ within the two-parameter logistic (2PL) item response theory model.
Alexander Robitzsch
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Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means
Journal of Inequalities and Applications, 2010 For , the power mean of order of two positive numbers and is defined by , for , and , for . In this paper, we answer the question: what are the greatest value and the least value such that the double inequality holds for all and ...
Chu Yu-Ming, Long Bo-Yong
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Geometry and inequalities of geometric mean [PDF]
Czechoslovak Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dinh, Trung Hoa +2 more
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