Results 11 to 20 of about 1,117,649 (332)
Linear Algebra and its Applications, 2004 Let \(G(A,B)\) be the geometric mean of two \(n\times n\) positive semidefinite matrices \(A\) and \(B\). The authors extend the definition of \(G\) to any number of \(n\times n\) positive semidefinite matrices inductively. Suppose that for some \(k\geq 2\), the geometric mean \(G(A_1,A_2,\dots,A_k)\) of any \(k\) positive semidefinite matrices \(A_1 ...
Ando, T., Li, Chi-Kwong, Mathias, Roy
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Mean Estimation on the Diagonal of Product Manifolds
Algorithms, 2022 Computing sample means on Riemannian manifolds is typically computationally costly, as exemplified by computation of the Fréchet mean, which often requires finding minimizing geodesics to each data point for each step of an iterative optimization scheme.
Mathias Højgaard Jensen, Stefan Sommer
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Geometric Mean Neutrino Mass Relation [PDF]
, 2007 Present experimental data from neutrino oscillations have provided much information about the neutrino mixing angles. Since neutrino oscillations only determine the mass squared differences $\Delta m^2_{ij} = m^2_i - m^2_j$, the absolute values for ...
A. ZEE, XIAO-GANG HE, Yao W.-M.
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On the Geometric Mean Operator
Journal of Mathematical Analysis and Applications, 1994 The authors give a characterization of pairs of weights \((u,v)\) such that the geometric mean operator \(Gf(x)= \exp((1/x) \int_ 0^ x \log f(t) dt)\), defined for \(f>0\) almost everywhere on \((0,\infty)\), is bounded from \(L_{p,v} (0,\infty)\) to \(L_{q,u} (0,\infty)\), where \(01\) the good weights for \(G\) coincide with those good for the ...
Pick, L., Opic, B.
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Optimal convex combination bounds of geometric and Neuman means for Toader-type mean
Journal of Inequalities and Applications, 2017 In this paper, we prove that the double inequalities α N Q A ( a , b ) + ( 1 − α ) G ( a , b ) < T D [ A ( a , b ) , G ( a , b ) ] < β N Q A ( a , b ) + ( 1 − β ) G ( a , b ) , λ N A Q ( a , b ) + ( 1 − λ ) G ( a , b ) < T D [ A ( a , b ) , G ( a , b ) ]
Yue-Ying Yang, Wei-Mao Qian
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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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Convergence of nonlocal geometric flows to anisotropic mean curvature motion [PDF]
, 2018 We consider nonlocal curvature functionals associated with positive interaction kernels, and we show that local anisotropic mean curvature functionals can be retrieved in a blow-up limit from them.
Cesaroni, Annalisa, Pagliari, Valerio
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The geometric mean algorithm [PDF]
Applied Mathematics and Computation, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sharp two-parameter bounds for the identric mean
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
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