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19992022
most citedComputational wave optics library for C++: CWO++ library

115 citations

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6 papers · 1 filter

math.FA2019

Functions preserving operator means

Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada

Let be a non-trivial operator mean in the sense of Kubo and Ando, and let the set of normalized positive operator monotone functions on . In this paper, w…

math.FA2019

Ando-Hiai type inequalities for operator means and operator perspectives

Fumio Hiai, Yuki Seo, Shuhei Wada

We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version o…

math.FA2019★ 2 cited

Geometric convexity of an operator mean

Shuhei Wada

Let be an operator mean in the sense of Kubo and Ando. If the representation function of satisfies then the operator mean i…

math.FA2018★ 2 cited

Ando-Hiai type inequalities for multivariate operator means

Fumio Hiai, Yuki Seo, Shuhei Wada

We present several Ando-Hiai type inequalities for -variable operator means for positive invertible operators. Ando-Hiai's inequalities given here are not only of the original t…

math.FA2015

Equivalence relations among some inequalities on operator means

Shuhei Wada, Takeaki Yamazaki

We will consider about some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and…

math.FA2014★ 4 cited

Operator monotonicity of some functions

Masaru Nagisa, Shuhei Wada

We investigate the operator monotonicity of functions which was considered by V.E. Szabo.