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A Generalized Arithmetic-Geometric Mean
SIAM Review, 1983D. Borwein, P. B. Borwein
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An Arithmetic-Geometric Mean of a Third Kind!
Computer Algebra in Scientific Computing, 2019S. Adlaj
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Remarks on the matrix arithmetic–geometric mean inequality
Acta Scientiarum MathematicarumThe author proves among others: (1) Let \(A\) and \(B\) be positive definite matrices. Then for every unitarily invariant norm \[ \left\vert {\left\Vert A^{\frac{1}{2}}B^{\frac{1}{2}} \right\Vert} \right\vert \leqslant \left\vert {\left\Vert {(AB)}^{\frac{1}{2}}+{(BA)}^{\frac{1}{2}} \right\Vert} \right\vert \leqslant (1/2) \left\vert {\left\Vert {A + B}
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International Conference on Information, Communications and Signal Processing, 2017
M. Khalil, S. Berber, K. Sowerby
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M. Khalil, S. Berber, K. Sowerby
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The arithmetic-geometric mean of Gauss (1984)
2016Paper 3: David A. Cox, “The arithmetic-geometric mean of Guass,” L’Enseignement Mathematique, vol. 30 (1984), p. 275–330. Reprinted by permission.
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Globally observed trends in mean and extreme river flow attributed to climate change
Science, 2021Lukas Gudmundsson +2 more
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INFO: An efficient optimization algorithm based on weighted mean of vectors
Expert Systems With Applications, 2022Iman Ahmadianfar +2 more
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An arithmetic and geometric mean-based multi-objective moth-flame optimization algorithm
Cluster ComputingSaroj Kumar +5 more
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