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Articles

On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices

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Pages 636-649 | Received 28 Aug 2013, Accepted 28 Jan 2014, Published online: 29 Apr 2014

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Jun Ichi Fujii, Yuki Seo & Takeaki Yamazaki. (2016) Norm inequalities for matrix geometric means of positive definite matrices. Linear and Multilinear Algebra 64:3, pages 512-526.
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Sharana Kumar Shivanand, Bojana Rosić & Hermann G. Matthies. (2024) Stochastic modelling of symmetric positive definite material tensors. Journal of Computational Physics 505, pages 112883.
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Sora Hiramatsu & Yuki Seo. (2022) Determinant for positive operators and operator geometric means. Analysis and Mathematical Physics 12:2.
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Ibrahim Gumus. (2021) Generalized versions of reverse Young inequalities. Proceedings of the American Mathematical Society 149:10, pages 4371-4377.
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Fumio Hiai, Yuki Seo & Shuhei Wada. (2019) Ando–Hiai-type inequalities for operator means and operator perspectives. International Journal of Mathematics 31:01, pages 2050007.
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Wenshi Liao, Pujun Long, Zemin Ren & Junliang Wu. (2018) On the Lawson–Lim means and Karcher mean for positive invertible operators. Journal of Inequalities and Applications 2018:1.
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Mahdi Dehghani, Mohsen Kian & Yuki Seo. (2017) Matrix power means and the information monotonicity. Linear Algebra and its Applications 521, pages 57-69.
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