30. Hosoo Lee and S. Kim, Applications of the coupled fixed point theorem to the nonlinear matrix equations, Journal of the Korean Mathematical Society, to appear. https://doi.org/10.4134/JKMS.j160793
29. S. Kim, The order properties and Karcher barycenters of probability measures on the open convex cone, Taiwanese Journal of Mathematics, to appear. DOI: 10.11650/tjm/8117
28. Jinmi Hwang and S. Kim, Lie-Trotter means of positive definite operators, Linear Algebra and Its Applications, 531 (2017), 268-280.
27. S. Kim, The matrix geometric means under partial trace, Journal of the Chungcheong Mathematical Society, 30, No. 1 (2017), 21-29.
26. Hosoo Lee and S. Kim, Muirhead's and Holland's inequalities of mixed power means for positive real numbers, Journal of Applied Mathematics and Informatics, 35, No.1-2 (2017), 33-44.
25. S. Kim, Hosoo Lee, and Yongdo Lim, An order inequality characterizing invariant barycenters on symmetric cones, Journal of Mathematical Analysis and Applications, 442 (2016), 1-16.
24. Hosoo Lee and S. Kim, The Hadamard product for the weighted Karcher means, Linear Algebra and Its Applications, 501 (2016), 290-303.
23. Jisu Park and S. Kim, Remarks on convergence of inductive means, Journal of Applied Mathematics and Informatics, 34, No.3-4 (2016), 285-294.
22. S. Kim, Gyrovector spaces on the open convex cone of positive definite matrices, Mathematics Interdisciplinary Research, Vol. 1, Issue 1 (2016), 173-185.
21. S. Kim, Hosoo Lee, and Yongdo Lim, A fixed point mean approximation to the Cartan barycenter of positive definite matrices, Linear Algebra and Its Applications, 496 (2016), 420-437.
20. S. Kim, Un Cig Ji, and Sangho Kum, An approach to the Log-Euclidean mean via the Karcher mean on symmetric cones, Taiwanese Journal of Mathematics, Vol. 20, Issue 1 (2016), 191-203.
19. Jisu Park and S. Kim, Hilbert projective metric on a gyrogroup of qubit density matrices, Reports on Mathematical Physics, Vol. 76, Issue 3 (2015), 389-400.
18. S. Kim and Hosoo Lee, Relative operator entropy related with the spectral geometric mean, Analysis and Mathematical Physics, Vol. 5, Issue 3 (2015), 233-240. DOI 10.1007/s13324-015-0099-z
17. S. Kim and Denez Petz, A new proof to construct multivariable geometric means by symmetrization, Journal of Applied Math. Informatics, Vol. 33, No. 3-4 (2015), 379-386.
16. S. Kim and Jimmie Lawson, Local midpoints on smooth manifolds, Differential Geometry and its Applications, 39 (2015), 129-146.
15. S. Kim, Distributivity on the gyrovector spaces, Kyungpook Mathematical Journal, 55 (2015), 13-20.
14. S. Kim and Hosoo Lee, The power mean and the least squares mean of probability measures on the space of positive definite matrices, Linear Algebra and Its Applications, 465 (2015), 325-346.
13. S. Kim, Sungwoon Kim, and Hosoo Lee, Factorizations of invertible density matrices, Linear Algebra and Its Applications, 463 (2014), 190-204.
12. Hosoo Lee and S. Kim, Multivariate coupled fixed point theorem on ordered partial metric spaces, Journal of the Korean Mathematical Society, 51, No. 6 (2014), 1189-1207.
11. Hosoo Lee and S. Kim, Rado and Poponov inequalities of probability measures for positive real numbers, Journal of the Chungcheong Mathematical Society, 27, No. 2 (2014), 165-172.
10. S. Kim and Jimmie Lawson, Unit balls, Lorentz boosts, and hyperbolic geometry, Results in Mathematics, 63 (2013), 1225-1242.
9. Kaushik Seshadreesan, S. Kim, Jonathan Dowling, and Hwang Lee, Phase estimation at the quantum Cramer-Rao bound via parity detection, Physical Review A, 87 (2013), 043833.
8. S. Kim, Operator entropy and fidelity associated with the geometric mean, Linear Algebra and Its Applications, 438 (2013), 2475-2483.
7. S. Kim, Jimmie Lawson, and Yongdo Lim, The matrix geometric mean of parameterized, weighted arithmetic and harmonic means, Linear Algebra and Its Applications, 435 (2011), 2114-2131.
6. S. Kim, Distances of qubit density matrices on Bloch sphere, Journal of Mathematical Physics, 52 (2011), 102303.
5. S. Kim and Jimmie Lawson, Smooth Bruck loops, symmetric spaces, and nonassociative vector spaces, Demonstratio Mathematica, 44, No. 4 (2011), 755-779.
4. S. Kim, Hosoo Lee, and Yongdo Lim, A sharp converse inequality of three weighted arithmetic and geometric means of positive definite operators, Mathematical Inequalities and Applications, 12, No. 3 (2009), 519-523.
3. Eunkyung Ahn, S. Kim, Hosoo Lee, and Yongdo Lim, Sagae-Tanabe weighted means and reverse inequalities, Kyungpook Mathematical Journal, 47-4 (2007), 595-600.
2. Eunkyung Ahn, S. Kim, and Yongdo Lim, An extended Lie-Trotter formula and its applications, Linear Algebra and Its Applications, 427 (2007), 190-196.
1. S. Kim and Yongdo Lim, A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators, Linear Algebra and Its Applications, 426 (2007), 490-496.
Submitted Papers
3. S. Kim, Jimmie Lawson, and Yongdo Lim, Barycentric maps for compactly supported measures, Journal of Mathematical Analysis and Applications, 2017, accepted.
2. Hayoung Choi, S. Kim, and Yuanming Shi, Geometric mean of partial positive matrices with missing entries , 2017.
1. S. Kim, The quasi-arithmetic means and Cartan barycenters of compactly supported measures, 2017
Papers in Preparation
6. Hana Choi, S. Kim, Hosoo Lee, and Yongdo Lim, Characterization of the $\Gamma$-commuting family of positive definite matrices, 2017.
5. S. Kim, Hosoo Lee, and Yongdo Lim, A new construction of multivariate geometric means, 2017.
4. S. Kim, Hosoo Lee, and Yongdo Lim, The parameterized Cartan barycenters of positive definite matrices, 2016.
3. S. Kim and Hosoo Lee, Inequalities for Hadamard product of the weighted geometric means, 2016.
2. Jaesung Heo, Un Cig Ji, S. Kim, and Sangho Kum, A remark on Karcher mean in monotone complete C*-algebra, 2014.
1. Hosoo Lee and S. Kim, An extension of coupled fixed point theorem due to Harjani, Lopez, and Sadrangani in higher dimension, 2013.