Ghiglioni, Eduardo; Lim, Yongdo The Karcher mean of equilateral triangles. (English) Zbl 1509.15010 Linear Algebra Appl. 656, 421-445 (2023). MSC: 15A30 15B48 15A45 15A15 53C20 PDFBibTeX XMLCite \textit{E. Ghiglioni} and \textit{Y. Lim}, Linear Algebra Appl. 656, 421--445 (2023; Zbl 1509.15010) Full Text: DOI
Ghiglioni, Eduardo; Lim, Yongdo Hyperbolicity of the Karcher mean. (English) Zbl 07501863 Linear Algebra Appl. 643, 196-217 (2022). MSC: 47A64 53C20 PDFBibTeX XMLCite \textit{E. Ghiglioni} and \textit{Y. Lim}, Linear Algebra Appl. 643, 196--217 (2022; Zbl 07501863) Full Text: DOI
Lim, Yongdo; Hiai, Fumio; Lawson, Jimmie Nonhomogeneous Karcher equations with vector fields on positive definite matrices. (English) Zbl 1492.58003 Eur. J. Math. 7, No. 3, 1291-1328 (2021). MSC: 58B20 47A64 47A56 15B57 15B48 26B25 PDFBibTeX XMLCite \textit{Y. Lim} et al., Eur. J. Math. 7, No. 3, 1291--1328 (2021; Zbl 1492.58003) Full Text: DOI
Lawson, Jimmie; Lim, Yongdo Analyticity of the Karcher mean coefficient maps. (English) Zbl 1490.15033 Linear Algebra Appl. 627, 162-184 (2021). MSC: 15A60 15A15 15B48 PDFBibTeX XMLCite \textit{J. Lawson} and \textit{Y. Lim}, Linear Algebra Appl. 627, 162--184 (2021; Zbl 1490.15033) Full Text: DOI
Ghiglioni, Eduardo; Lim, Yongdo; Pálfia, Miklós The Karcher mean of linearly independent triples. (English) Zbl 1467.15008 Linear Algebra Appl. 610, 203-221 (2021). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 15A21 15B57 15B48 47A64 PDFBibTeX XMLCite \textit{E. Ghiglioni} et al., Linear Algebra Appl. 610, 203--221 (2021; Zbl 1467.15008) Full Text: DOI
Lim, Yongdo; Pálfia, Miklós Existence, uniqueness and an ODE approach to the \(L^1\)-Karcher mean. (English) Zbl 1482.47143 Adv. Math. 376, Article ID 107435, 46 p. (2021). Reviewer: Ismail Nikoufar (Tehran) MSC: 47L07 60B05 47A64 47H20 PDFBibTeX XMLCite \textit{Y. Lim} and \textit{M. Pálfia}, Adv. Math. 376, Article ID 107435, 46 p. (2021; Zbl 1482.47143) Full Text: DOI arXiv
Lawson, Jimmie D.; Lim, Yongdo Following the trail of the operator geometric mean. (English) Zbl 07400852 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 143-153 (2020). MSC: 47A64 46L05 47B65 47L07 PDFBibTeX XMLCite \textit{J. D. Lawson} and \textit{Y. Lim}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 143--153 (2020; Zbl 07400852) Full Text: DOI
Lim, Yongdo; Pálfia, Miklós Strong law of large numbers for the \(L^1\)-Karcher mean. (English) Zbl 1518.47032 J. Funct. Anal. 279, No. 7, Article ID 108672, 36 p. (2020). MSC: 47A64 47A56 60F15 58B20 PDFBibTeX XMLCite \textit{Y. Lim} and \textit{M. Pálfia}, J. Funct. Anal. 279, No. 7, Article ID 108672, 36 p. (2020; Zbl 1518.47032) Full Text: DOI arXiv
Choi, Hayoung; Ghiglioni, Eduardo; Lim, Yongdo The Karcher mean of three variables and quadric surfaces. (English) Zbl 07219783 J. Math. Anal. Appl. 490, No. 2, Article ID 124321, 20 p. (2020). MSC: 47A64 35-XX 15-XX PDFBibTeX XMLCite \textit{H. Choi} et al., J. Math. Anal. Appl. 490, No. 2, Article ID 124321, 20 p. (2020; Zbl 07219783) Full Text: DOI
Hiai, Fumio; Lim, Yongdo Operator means of probability measures. (English) Zbl 1444.47029 Adv. Math. 365, Article ID 107038, 40 p. (2020). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 47A64 47B65 47L07 58B20 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{Y. Lim}, Adv. Math. 365, Article ID 107038, 40 p. (2020; Zbl 1444.47029) Full Text: DOI arXiv
Hiai, Fumio; Lim, Yongdo Convergence theorems for barycentric maps. (English) Zbl 1436.60011 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950016, 40 p. (2019). MSC: 60B05 47A64 37A30 60F10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{Y. Lim}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950016, 40 p. (2019; Zbl 1436.60011) Full Text: DOI arXiv
Kim, Sejong; Lee, Hosoo; Lim, Yongdo Repetition invariant geometric means. (English) Zbl 1396.15017 Linear Algebra Appl. 544, 443-459 (2018). Reviewer: Tin Yau Tam (Reno) MSC: 15A42 47A64 47B65 47L07 PDFBibTeX XMLCite \textit{S. Kim} et al., Linear Algebra Appl. 544, 443--459 (2018; Zbl 1396.15017) Full Text: DOI
Hiai, Fumio; Lawson, Jimmie; Lim, Yongdo The stochastic order of probability measures on ordered metric spaces. (English) Zbl 1397.60052 J. Math. Anal. Appl. 464, No. 1, 707-724 (2018). MSC: 60E15 28C15 PDFBibTeX XMLCite \textit{F. Hiai} et al., J. Math. Anal. Appl. 464, No. 1, 707--724 (2018; Zbl 1397.60052) Full Text: DOI arXiv
Lim, Yongdo Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices. (English) Zbl 1379.65007 J. Math. Anal. Appl. 459, No. 1, 291-306 (2018). MSC: 65C50 60A10 PDFBibTeX XMLCite \textit{Y. Lim}, J. Math. Anal. Appl. 459, No. 1, 291--306 (2018; Zbl 1379.65007) Full Text: DOI
Kim, Sejong; Lawson, Jimmie; Lim, Yongdo Barycentric maps for compactly supported measures. (English) Zbl 1376.28001 J. Math. Anal. Appl. 458, No. 2, 1009-1026 (2018). MSC: 28A33 60B05 PDFBibTeX XMLCite \textit{S. Kim} et al., J. Math. Anal. Appl. 458, No. 2, 1009--1026 (2018; Zbl 1376.28001) Full Text: DOI
Hiai, Fumio; Lim, Yongdo Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices. (English) Zbl 1373.15031 Linear Algebra Appl. 533, 118-131 (2017). MSC: 15A42 47A64 47B65 47L07 15B48 60A10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{Y. Lim}, Linear Algebra Appl. 533, 118--131 (2017; Zbl 1373.15031) Full Text: DOI arXiv
Kim, Sejong; Lee, Hosoo; Lim, Yongdo An order inequality characterizing invariant barycenters on symmetric cones. (English) Zbl 1337.28024 J. Math. Anal. Appl. 442, No. 1, 1-16 (2016). MSC: 28C15 28A33 53C23 PDFBibTeX XMLCite \textit{S. Kim} et al., J. Math. Anal. Appl. 442, No. 1, 1--16 (2016; Zbl 1337.28024) Full Text: DOI
Kum, Sangho; Lim, Yongdo Nonexpansiveness of the resolvent average. (English) Zbl 1326.15054 J. Math. Anal. Appl. 432, No. 2, 918-927 (2015). MSC: 15B48 47A64 PDFBibTeX XMLCite \textit{S. Kum} and \textit{Y. Lim}, J. Math. Anal. Appl. 432, No. 2, 918--927 (2015; Zbl 1326.15054) Full Text: DOI
Kum, Sangho; Lee, Hosoo; Lim, Yongdo Moving averages on convex metric spaces. (English) Zbl 1314.46022 J. Math. Anal. Appl. 421, No. 2, 1131-1150 (2015). MSC: 46B20 47H09 PDFBibTeX XMLCite \textit{S. Kum} et al., J. Math. Anal. Appl. 421, No. 2, 1131--1150 (2015; Zbl 1314.46022) Full Text: DOI
Lim, Yongdo; Pálfia, Miklós Weighted inductive means. (English) Zbl 1328.15043 Linear Algebra Appl. 453, 59-83 (2014). MSC: 15B48 52A21 PDFBibTeX XMLCite \textit{Y. Lim} and \textit{M. Pálfia}, Linear Algebra Appl. 453, 59--83 (2014; Zbl 1328.15043) Full Text: DOI
Lim, Yongdo Convex geometric means. (English) Zbl 1304.26024 J. Math. Anal. Appl. 404, No. 1, 115-128 (2013). MSC: 26E60 15A60 PDFBibTeX XMLCite \textit{Y. Lim}, J. Math. Anal. Appl. 404, No. 1, 115--128 (2013; Zbl 1304.26024) Full Text: DOI
Lawson, Jimmie; Lim, Yongdo The least squares mean of positive Hilbert-Schmidt operators. (English) Zbl 1301.47021 J. Math. Anal. Appl. 403, No. 2, 365-375 (2013). Reviewer: Jean-Pierre Magnot (Clermont-Ferrand) MSC: 47A62 47A64 47B65 47B10 58B20 PDFBibTeX XMLCite \textit{J. Lawson} and \textit{Y. Lim}, J. Math. Anal. Appl. 403, No. 2, 365--375 (2013; Zbl 1301.47021) Full Text: DOI
Lee, Hosoo; Lim, Yongdo Carlson’s iterative mean algorithm of positive definite matrices. (English) Zbl 1305.65132 Linear Algebra Appl. 439, No. 4, 1183-1201 (2013). MSC: 65F30 15B48 47A64 20B35 PDFBibTeX XMLCite \textit{H. Lee} and \textit{Y. Lim}, Linear Algebra Appl. 439, No. 4, 1183--1201 (2013; Zbl 1305.65132) Full Text: DOI
Lim, Yongdo; Yamazaki, Takeaki On some inequalities for the matrix power and Karcher means. (English) Zbl 1260.15032 Linear Algebra Appl. 438, No. 3, 1293-1304 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A45 PDFBibTeX XMLCite \textit{Y. Lim} and \textit{T. Yamazaki}, Linear Algebra Appl. 438, No. 3, 1293--1304 (2013; Zbl 1260.15032) Full Text: DOI