Gan, Luyining; Kim, Sejong Revisit on spectral geometric mean. (English) Zbl 07823328 Linear Multilinear Algebra 72, No. 6, 944-955 (2024). MSC: 15A60 15B48 47A64 53C20 PDFBibTeX XMLCite \textit{L. Gan} and \textit{S. Kim}, Linear Multilinear Algebra 72, No. 6, 944--955 (2024; Zbl 07823328) Full Text: DOI arXiv
Wang, Min; Wang, Yingzhan Riesz means and bilinear Riesz means on H-type groups. (English) Zbl 07812444 J. Geom. Phys. 198, Article ID 105136, 31 p. (2024). MSC: 43A80 22E30 42B15 15A15 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Y. Wang}, J. Geom. Phys. 198, Article ID 105136, 31 p. (2024; Zbl 07812444) Full Text: DOI
Gan, Luyining; Tam, Tin-Yau Inequalities and limits of weighted spectral geometric mean. (English) Zbl 07808506 Linear Multilinear Algebra 72, No. 2, 261-282 (2024). Reviewer: Roksana Słowik (Gliwice) MSC: 15A45 15B48 47A64 PDFBibTeX XMLCite \textit{L. Gan} and \textit{T.-Y. Tam}, Linear Multilinear Algebra 72, No. 2, 261--282 (2024; Zbl 07808506) Full Text: DOI arXiv
Choi, Hayoung; Kim, Sejong; Lim, Yongdo Linearity of Cartan and Wasserstein means. (English) Zbl 07796455 Linear Algebra Appl. 681, 66-88 (2024). Reviewer: Roksana Słowik (Gliwice) MSC: 15B48 15A60 15A18 15A45 47A64 53C20 PDFBibTeX XMLCite \textit{H. Choi} et al., Linear Algebra Appl. 681, 66--88 (2024; Zbl 07796455) Full Text: DOI
Gan, Luyining; Kim, Sejong Weak log-majorization between the geometric and Wasserstein means. (English) Zbl 07762448 J. Math. Anal. Appl. 530, No. 2, Article ID 127711, 14 p. (2024). MSC: 15A60 15B48 47A64 PDFBibTeX XMLCite \textit{L. Gan} and \textit{S. Kim}, J. Math. Anal. Appl. 530, No. 2, Article ID 127711, 14 p. (2024; Zbl 07762448) Full Text: DOI arXiv
Hiai, Fumio Log-majorization and matrix norm inequalities with application to quantum information. arXiv:2402.16067 Preprint, arXiv:2402.16067 [math.FA] (2024). MSC: 15A45 47A64 81P17 BibTeX Cite \textit{F. Hiai}, ``Log-majorization and matrix norm inequalities with application to quantum information'', Preprint, arXiv:2402.16067 [math.FA] (2024) Full Text: arXiv OA License
Furuichi, Shigeru; Moradi, Hamid Reza; Conde, Cristian; Sababheh, Mohammad On a binary operation for positive operators. arXiv:2402.06637 Preprint, arXiv:2402.06637 [math.FA] (2024). MSC: 47A63 47A64 47A30 15A45 BibTeX Cite \textit{S. Furuichi} et al., ``On a binary operation for positive operators'', Preprint, arXiv:2402.06637 [math.FA] (2024) Full Text: DOI arXiv OA License
Jeong, Miran; Kim, Sejong Weak log-majorization and inequalities of power means. (English) Zbl 07807939 Electron. J. Linear Algebra 39, 607-620 (2023). MSC: 15A45 26E60 47A64 PDFBibTeX XMLCite \textit{M. Jeong} and \textit{S. Kim}, Electron. J. Linear Algebra 39, 607--620 (2023; Zbl 07807939) Full Text: DOI arXiv
Uchiyama, Mitsuru Geometric mean and matrix quadratic equations. (English) Zbl 07806659 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 211-240 (2023). MSC: 15A24 47A62 47A64 15A24 15A39 47A63 PDFBibTeX XMLCite \textit{M. Uchiyama}, in: Matrix and operator equations and applications. Cham: Springer. 211--240 (2023; Zbl 07806659) Full Text: DOI
Ahallal, Sarra; Kacha, Ali; Mennou, Said Continued fraction representations of the generalized operator entropy. (English) Zbl 07784660 Tatra Mt. Math. Publ. 85, 57-72 (2023). MSC: 47A58 47A64 15A60 PDFBibTeX XMLCite \textit{S. Ahallal} et al., Tatra Mt. Math. Publ. 85, 57--72 (2023; Zbl 07784660) Full Text: DOI arXiv OA License
Alakhrass, M.; Sababheh, M. New matrix interpolating inequalities. (English) Zbl 07784642 Jordan J. Math. Stat. 16, No. 4, 805-815 (2023). MSC: 15A18 15A60 47A30 PDFBibTeX XMLCite \textit{M. Alakhrass} and \textit{M. Sababheh}, Jordan J. Math. Stat. 16, No. 4, 805--815 (2023; Zbl 07784642) Full Text: DOI
Dinh, Trung Hoa; Le, Cong Trinh; Nguyen, The Van; Vo, Bich Khue Matrix power means and new characterizations of operator monotone functions. (English) Zbl 07782048 Linear Multilinear Algebra 71, No. 18, 2986-2997 (2023). MSC: 47A63 47A64 47A56 46E05 15B48 PDFBibTeX XMLCite \textit{T. H. Dinh} et al., Linear Multilinear Algebra 71, No. 18, 2986--2997 (2023; Zbl 07782048) Full Text: DOI arXiv
Ando, T. Two classes of \(J\)-operators. (English) Zbl 07780483 J. Iran. Math. Soc. 4, No. 1, 45-54 (2023). MSC: 47B02 46C05 47A64 15A45 PDFBibTeX XMLCite \textit{T. Ando}, J. Iran. Math. Soc. 4, No. 1, 45--54 (2023; Zbl 07780483) Full Text: DOI
Moradi, Hamid Reza; Audeh, Wasim; Sababheh, Mohammad Singular values inequalities via matrix monotone functions. (English) Zbl 1522.15020 Anal. Math. Phys. 13, No. 5, Paper No. 71, 18 p. (2023). MSC: 15A42 15A18 47A63 15A60 47B15 PDFBibTeX XMLCite \textit{H. R. Moradi} et al., Anal. Math. Phys. 13, No. 5, Paper No. 71, 18 p. (2023; Zbl 1522.15020) Full Text: DOI
Simon, Richárd; Virosztek, Dániel Preservers of the \(p\)-power and the Wasserstein means on \(2 \times 2\) matrices. (English) Zbl 1521.15024 Electron. J. Linear Algebra 39, 395-408 (2023). MSC: 15A86 15A24 47B49 47A64 PDFBibTeX XMLCite \textit{R. Simon} and \textit{D. Virosztek}, Electron. J. Linear Algebra 39, 395--408 (2023; Zbl 1521.15024) Full Text: DOI arXiv Link
Rashid, Mohammad H. M.; Bani-Ahmad, Feras New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant. (English) Zbl 1520.15006 Spec. Matrices 11, Article ID 2022-0180, 23 p. (2023). Reviewer: Minghua Lin (Xi’an) MSC: 15A45 15A60 47A60 39B62 PDFBibTeX XMLCite \textit{M. H. M. Rashid} and \textit{F. Bani-Ahmad}, Spec. Matrices 11, Article ID 2022--0180, 23 p. (2023; Zbl 1520.15006) Full Text: DOI
Simovici, Dan A. Linear algebra tools for data mining. 2nd edition. (English) Zbl 1515.15005 Singapore: World Scientific (ISBN 978-981-12-7033-8/hbk; 978-981-12-7035-2/ebook). xvi, 985 p. (2023). MSC: 15-01 68-01 15Axx 68Txx 68Qxx 68Wxx PDFBibTeX XMLCite \textit{D. A. Simovici}, Linear algebra tools for data mining. 2nd edition. Singapore: World Scientific (2023; Zbl 1515.15005) Full Text: DOI
Ghabries, Mohammad M.; Abbas, Hassane; Mourad, Bassam; Assi, Abdallah New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality. (English) Zbl 1515.15019 Linear Multilinear Algebra 71, No. 7, 1228-1243 (2023). MSC: 15A42 47A63 47A64 47A30 PDFBibTeX XMLCite \textit{M. M. Ghabries} et al., Linear Multilinear Algebra 71, No. 7, 1228--1243 (2023; Zbl 1515.15019) Full Text: DOI arXiv
Weber, Melanie; Sra, Suvrit Riemannian optimization via Frank-Wolfe methods. (English) Zbl 1522.46052 Math. Program. 199, No. 1-2 (A), 525-556 (2023). MSC: 46N10 15A24 65K10 49Q99 PDFBibTeX XMLCite \textit{M. Weber} and \textit{S. Sra}, Math. Program. 199, No. 1--2 (A), 525--556 (2023; Zbl 1522.46052) Full Text: DOI arXiv
Kim, Sejong Parameterized Wasserstein means. (English) Zbl 1514.15006 J. Math. Anal. Appl. 525, No. 1, Article ID 127272, 14 p. (2023). MSC: 15A04 15A45 60B20 47A64 43A07 PDFBibTeX XMLCite \textit{S. Kim}, J. Math. Anal. Appl. 525, No. 1, Article ID 127272, 14 p. (2023; Zbl 1514.15006) Full Text: DOI arXiv
Palitta, Davide; Tabeart, Jemima M. Stein-based preconditioners for weak-constraint 4D-var. (English) Zbl 07679174 J. Comput. Phys. 482, Article ID 112068, 23 p. (2023). MSC: 65Fxx 15Axx 65Kxx PDFBibTeX XMLCite \textit{D. Palitta} and \textit{J. M. Tabeart}, J. Comput. Phys. 482, Article ID 112068, 23 p. (2023; Zbl 07679174) Full Text: DOI arXiv
Bini, Dario A.; Iannazzo, Bruno; Meng, Jie Geometric means of quasi-Toeplitz matrices. (English) Zbl 1509.15018 BIT 63, No. 2, Paper No. 20, 30 p. (2023). MSC: 15B05 15A60 47A64 47B35 47A60 PDFBibTeX XMLCite \textit{D. A. Bini} et al., BIT 63, No. 2, Paper No. 20, 30 p. (2023; Zbl 1509.15018) Full Text: DOI arXiv
Choi, Byoung Jin; Kim, Sejong Logarithmic mean of positive invertible operators. (English) Zbl 1520.47039 Banach J. Math. Anal. 17, No. 2, Paper No. 20, 17 p. (2023). MSC: 47A64 15B48 PDFBibTeX XMLCite \textit{B. J. Choi} and \textit{S. Kim}, Banach J. Math. Anal. 17, No. 2, Paper No. 20, 17 p. (2023; Zbl 1520.47039) Full Text: DOI
Uchyama, Mitsuru Symmetric matrix means. (English) Zbl 1512.47031 Linear Algebra Appl. 656, 112-130 (2023). MSC: 47A64 15A18 15A15 PDFBibTeX XMLCite \textit{M. Uchyama}, Linear Algebra Appl. 656, 112--130 (2023; Zbl 1512.47031) Full Text: DOI
Wang, Zhenhua Lie-Trotter means in JB-algebras. arXiv:2310.12857 Preprint, arXiv:2310.12857 [math.FA] (2023). MSC: 46H70 47A64 17C90 15A16 17C65 81R15 81P45 94C99 BibTeX Cite \textit{Z. Wang}, ``Lie-Trotter means in JB-algebras'', Preprint, arXiv:2310.12857 [math.FA] (2023) Full Text: arXiv OA License
Feng, Lin; Lii, Lei; Zhang, Junming; Zhang, Yuanming Inequalities related to the \(\mathrm{S}\)-divergence. (English) Zbl 1521.15017 Note Mat. 42, No. 2, 1-6 (2022). MSC: 15A45 15B48 47B65 PDFBibTeX XMLCite \textit{L. Feng} et al., Note Mat. 42, No. 2, 1--6 (2022; Zbl 1521.15017) Full Text: DOI
Ighachane, Mohamed Amine; Akkouchi, Mohamed A generalization of refined Young’s inequality. (English) Zbl 1519.47015 Appl. Math. E-Notes 22, 731-740 (2022). MSC: 47A63 47A64 15A45 PDFBibTeX XMLCite \textit{M. A. Ighachane} and \textit{M. Akkouchi}, Appl. Math. E-Notes 22, 731--740 (2022; Zbl 1519.47015) Full Text: Link
Schoonees, Pieter C.; Groenen, Patrick J. F.; van de Velden, Michel Least-squares bilinear clustering of three-way data. (English) Zbl 07703095 Adv. Data Anal. Classif., ADAC 16, No. 4, 1001-1037 (2022). MSC: 62H30 15A18 PDFBibTeX XMLCite \textit{P. C. Schoonees} et al., Adv. Data Anal. Classif., ADAC 16, No. 4, 1001--1037 (2022; Zbl 07703095) Full Text: DOI
Seo, Yuki The quantum \(\natural_\alpha\)-Rényi divergence of real order. (English) Zbl 07667360 J. Math. Phys. 63, No. 7, Article ID 072203, 30 p. (2022); erratum ibid. 64, No. 7, 079901, 3 p. (2023; Zbl 07722629). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A64 47A63 81P17 15A60 15B48 PDFBibTeX XMLCite \textit{Y. Seo}, J. Math. Phys. 63, No. 7, Article ID 072203, 30 p. (2022; Zbl 07667360) Full Text: DOI
Dinh, T. H.; Le, C. T.; Vo, B. K. The inverse problem for generalized contraharmonic means. (English. Russian original) Zbl 1509.15012 Russ. Math. 66, No. 7, 1-6 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 7, 3-9 (2022). MSC: 15A60 15A29 15A24 47A64 PDFBibTeX XMLCite \textit{T. H. Dinh} et al., Russ. Math. 66, No. 7, 1--6 (2022; Zbl 1509.15012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 7, 3--9 (2022) Full Text: DOI
Bochi, Jairo; Iommi, Godofredo; Ponce, Mario The Halász-Székely barycenter. (English) Zbl 1520.26019 Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 881-911 (2022). MSC: 26E60 15A15 26D15 37A30 60F15 PDFBibTeX XMLCite \textit{J. Bochi} et al., Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 881--911 (2022; Zbl 1520.26019) Full Text: DOI arXiv
Nagisa, M.; Watatani, Y. Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity. (English) Zbl 1524.46076 Anal. Math. 48, No. 4, 1105-1126 (2022). Reviewer: Antonio M. Peralta (Granada) MSC: 46L07 47A64 15A15 15A18 46L30 PDFBibTeX XMLCite \textit{M. Nagisa} and \textit{Y. Watatani}, Anal. Math. 48, No. 4, 1105--1126 (2022; Zbl 1524.46076) Full Text: DOI
Gumus, Ibrahim; Moradi, Hamid; Sababheh, Mohammad On positive and positive partial transpose matrices. (English) Zbl 1505.15015 Electron. J. Linear Algebra 38, 792-802 (2022). MSC: 15A45 47A63 47A30 47A64 47B15 PDFBibTeX XMLCite \textit{I. Gumus} et al., Electron. J. Linear Algebra 38, 792--802 (2022; Zbl 1505.15015) Full Text: Link
Zheng, Yanpeng; Jiang, Xiaoyu; Chen, Xiaoting; Zhang, Ancai; Alsaadi, Fawaz Means and the Schur complement of sector matrices. (English) Zbl 1498.15026 Linear Multilinear Algebra 70, No. 13, 2611-2617 (2022). Reviewer: Minghua Lin (Xi’an) MSC: 15A45 15A60 47A64 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Linear Multilinear Algebra 70, No. 13, 2611--2617 (2022; Zbl 1498.15026) Full Text: DOI
Lodhia, Asad; Levin, Keith; Levina, Elizaveta Matrix means and a novel high-dimensional shrinkage phenomenon. (English) Zbl 07594071 Bernoulli 28, No. 4, 2578-2605 (2022). MSC: 62Hxx 62Fxx 15Bxx PDFBibTeX XMLCite \textit{A. Lodhia} et al., Bernoulli 28, No. 4, 2578--2605 (2022; Zbl 07594071) Full Text: DOI arXiv Link
Luo, Wenhui Logarithmic mean of multiple accretive matrices. (English) Zbl 1496.15015 Bull. Iran. Math. Soc. 48, No. 4, 1229-1236 (2022). MSC: 15A45 15A60 47A64 47A12 PDFBibTeX XMLCite \textit{W. Luo}, Bull. Iran. Math. Soc. 48, No. 4, 1229--1236 (2022; Zbl 1496.15015) Full Text: DOI
Kosaki, Hideki Positive definiteness and infinite divisibility of certain functions of hyperbolic cosine function. (English) Zbl 1496.42010 Int. J. Math. 33, No. 7, Article ID 2250050, 37 p. (2022). Reviewer: Elhadj Dahia (Bou Saâda) MSC: 42A82 26A99 26D07 47A64 15A42 15A60 PDFBibTeX XMLCite \textit{H. Kosaki}, Int. J. Math. 33, No. 7, Article ID 2250050, 37 p. (2022; Zbl 1496.42010) Full Text: DOI
Molnár, Lajos On certain order properties of non Kubo-Ando means in operator algebras. (English) Zbl 07557751 Integral Equations Oper. Theory 94, No. 3, Paper No. 25, 25 p. (2022). MSC: 47A64 15B48 PDFBibTeX XMLCite \textit{L. Molnár}, Integral Equations Oper. Theory 94, No. 3, Paper No. 25, 25 p. (2022; Zbl 07557751) Full Text: DOI
Sababheh, Mohammad; Furuichi, Shigeru; Sheybani, Shiva; Moradi, Hamid Reza Singular values inequalities for matrix means. (English) Zbl 07531407 J. Math. Inequal. 16, No. 1, 169-179 (2022). MSC: 47A63 47A64 47B15 15A45 PDFBibTeX XMLCite \textit{M. Sababheh} et al., J. Math. Inequal. 16, No. 1, 169--179 (2022; Zbl 07531407) Full Text: DOI arXiv
Malekinejad, Somayeh; Khosravi, Maryam; Sheikhhosseini, Alemeh Mean inequalities for sector matrices involving positive linear maps. (English) Zbl 07514807 Positivity 26, No. 3, Paper No. 44, 17 p. (2022). MSC: 47A63 47A64 15B48 PDFBibTeX XMLCite \textit{S. Malekinejad} et al., Positivity 26, No. 3, Paper No. 44, 17 p. (2022; Zbl 07514807) Full Text: DOI
Kian, Mohsen; Sababheh, Mohammad Majorization inequalities via convex functions. (English) Zbl 1497.26040 Electron. J. Linear Algebra 38, 179-194 (2022). MSC: 26D20 15A45 26A51 PDFBibTeX XMLCite \textit{M. Kian} and \textit{M. Sababheh}, Electron. J. Linear Algebra 38, 179--194 (2022; Zbl 1497.26040) Full Text: Link
Choi, Hayoung; Lim, Yongdo Operator means of lower triangular matrices. (English) Zbl 1486.22008 J. Lie Theory 32, No. 1, 175-190 (2022). Reviewer: Minghua Lin (Xi’an) MSC: 22E25 15B48 47A64 PDFBibTeX XMLCite \textit{H. Choi} and \textit{Y. Lim}, J. Lie Theory 32, No. 1, 175--190 (2022; Zbl 1486.22008) Full Text: Link
Chouaieb, Nadia; Iannazzo, Bruno; Moakher, Maher Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means. (English) Zbl 1490.53028 Linear Algebra Appl. 638, 80-109 (2022). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53B20 15B48 47A64 PDFBibTeX XMLCite \textit{N. Chouaieb} et al., Linear Algebra Appl. 638, 80--109 (2022; Zbl 1490.53028) Full Text: DOI arXiv
Bedrani, Yassine; Kittaneh, Fuad; Sababheh, Mohammed Accretive matrices and matrix convex functions. (English) Zbl 1484.15018 Result. Math. 77, No. 1, Paper No. 52, 14 p. (2022). Reviewer: Luyining Gan (Reno) MSC: 15A45 15A60 47A30 47A63 47A64 PDFBibTeX XMLCite \textit{Y. Bedrani} et al., Result. Math. 77, No. 1, Paper No. 52, 14 p. (2022; Zbl 1484.15018) Full Text: DOI
Brusco, Michael J.; Steinley, Douglas A variable neighborhood search heuristic for nonnegative matrix factorization with application to microarray data. (English) Zbl 1484.65085 Optim. Lett. 16, No. 1, 153-174 (2022). MSC: 65F55 15A23 PDFBibTeX XMLCite \textit{M. J. Brusco} and \textit{D. Steinley}, Optim. Lett. 16, No. 1, 153--174 (2022; Zbl 1484.65085) Full Text: DOI
Dumitru, Raluca; Franco, Jose A. Geodesic in-betweenness for means of several matrices. (English) Zbl 1491.15036 Linear Algebra Appl. 636, 77-92 (2022). MSC: 15B48 15A60 PDFBibTeX XMLCite \textit{R. Dumitru} and \textit{J. A. Franco}, Linear Algebra Appl. 636, 77--92 (2022; Zbl 1491.15036) Full Text: DOI
Minh, Hà Quang Alpha Procrustes metrics between positive definite operators: a unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics. (English) Zbl 1491.15037 Linear Algebra Appl. 636, 25-68 (2022). MSC: 15B48 60A10 47B65 47A64 47B32 PDFBibTeX XMLCite \textit{H. Q. Minh}, Linear Algebra Appl. 636, 25--68 (2022; Zbl 1491.15037) Full Text: DOI arXiv
Kum, Sangho; Lee, Hosoo A remark on multi-dimensional Ando-Hiai log majorization on symmetric cones. (English) Zbl 1501.15013 J. Nonlinear Convex Anal. 22, No. 7, 1285-1295 (2021). MSC: 15A42 15B48 17C27 47A64 PDFBibTeX XMLCite \textit{S. Kum} and \textit{H. Lee}, J. Nonlinear Convex Anal. 22, No. 7, 1285--1295 (2021; Zbl 1501.15013) Full Text: Link
Bini, Dario A.; Iannazzo, Bruno; Meng, Jie Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices. (English) Zbl 1496.65059 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 405-414 (2021). MSC: 65F60 15A16 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Lect. Notes Comput. Sci. 12829, 405--414 (2021; Zbl 1496.65059) Full Text: DOI
Liu, Juntong; Mei, Jin-Jin; Zhang, Dengpeng Inequalities related to the geometric mean of accretive matrices. (English) Zbl 1484.15019 Oper. Matrices 15, No. 2, 581-587 (2021). MSC: 15A45 47A64 PDFBibTeX XMLCite \textit{J. Liu} et al., Oper. Matrices 15, No. 2, 581--587 (2021; Zbl 1484.15019) Full Text: DOI
Bedrani, Yassine; Kittaneh, Fuad; Sababheh, Mohammad From positive to accretive matrices. (English) Zbl 1480.15021 Positivity 25, No. 4, 1601-1629 (2021). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A45 15A42 15A60 47A63 47A64 PDFBibTeX XMLCite \textit{Y. Bedrani} et al., Positivity 25, No. 4, 1601--1629 (2021; Zbl 1480.15021) Full Text: DOI arXiv
Yamazaki, Takeaki The induced Aluthge transformations. (English) Zbl 1471.47010 Linear Algebra Appl. 628, 1-28 (2021). MSC: 47A64 15B48 47A12 47A30 PDFBibTeX XMLCite \textit{T. Yamazaki}, Linear Algebra Appl. 628, 1--28 (2021; Zbl 1471.47010) Full Text: DOI
Molnár, Lajos On dissimilarities of the conventional and Kubo-Ando power means in operator algebras. (English) Zbl 1482.46060 J. Math. Anal. Appl. 504, No. 1, Article ID 125356, 15 p. (2021). MSC: 46L05 47B49 15A45 47A64 PDFBibTeX XMLCite \textit{L. Molnár}, J. Math. Anal. Appl. 504, No. 1, Article ID 125356, 15 p. (2021; Zbl 1482.46060) 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
Moslehian, Mohammad Sal; Sano, Takashi; Sugawara, Kota The arithmetic-geometric mean inequality of indefinite type. (English) Zbl 07378008 Arch. Math. 117, No. 3, 347-359 (2021). MSC: 47A64 15A45 PDFBibTeX XMLCite \textit{M. S. Moslehian} et al., Arch. Math. 117, No. 3, 347--359 (2021; Zbl 07378008) 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
Furuichi, Shigeru; Jabbarzadeh, Mohammad Reza; Kaleibary, Venus On the operator Aczél inequality and its reverse. (English) Zbl 07356799 J. Math. Inequal. 15, No. 1, 249-259 (2021). MSC: 47A63 47A64 15A60 26D15 PDFBibTeX XMLCite \textit{S. Furuichi} et al., J. Math. Inequal. 15, No. 1, 249--259 (2021; Zbl 07356799) Full Text: DOI arXiv
Lim, Yongdo Invariant tolerance relations on positive definite matrices. (English) Zbl 1464.15009 Linear Algebra Appl. 619, 1-11 (2021). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A15 15A18 15A42 47A64 15B48 53C20 PDFBibTeX XMLCite \textit{Y. Lim}, Linear Algebra Appl. 619, 1--11 (2021; Zbl 1464.15009) Full Text: DOI
Bedrani, Yassine; Kittaneh, Fuad; Sababheh, Mohammed Numerical radii of accretive matrices. (English) Zbl 1471.15017 Linear Multilinear Algebra 69, No. 5, 957-970 (2021). Reviewer: Agnes Radl (Berlin) MSC: 15A60 15A45 15B48 47A12 47A30 47A63 47A64 PDFBibTeX XMLCite \textit{Y. Bedrani} et al., Linear Multilinear Algebra 69, No. 5, 957--970 (2021; Zbl 1471.15017) Full Text: DOI arXiv
Kian, Mohsen; Seo, Yuki Jointly convex mappings related to Lieb’s theorem and Minkowski type operator inequalities. (English) Zbl 1522.47037 Anal. Math. Phys. 11, No. 2, Paper No. 72, 33 p. (2021). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 47A63 47A64 47A13 15A45 PDFBibTeX XMLCite \textit{M. Kian} and \textit{Y. Seo}, Anal. Math. Phys. 11, No. 2, Paper No. 72, 33 p. (2021; Zbl 1522.47037) Full Text: DOI arXiv
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
Pitrik, József; Virosztek, Dániel A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means. (English) Zbl 1514.47033 Linear Algebra Appl. 609, 203-217 (2021). MSC: 47A64 15A24 PDFBibTeX XMLCite \textit{J. Pitrik} and \textit{D. Virosztek}, Linear Algebra Appl. 609, 203--217 (2021; Zbl 1514.47033) Full Text: DOI arXiv
Bedrani, Yassine; Kittaneh, Fuad; Sababheh, Mohammed On the weighted geometric mean of accretive matrices. (English) Zbl 1462.15022 Ann. Funct. Anal. 12, No. 1, Paper No. 2, 15 p. (2021). Reviewer: Mihail Voicu (Iaşi) MSC: 15A45 15A60 47A30 47A63 47A64 PDFBibTeX XMLCite \textit{Y. Bedrani} et al., Ann. Funct. Anal. 12, No. 1, Paper No. 2, 15 p. (2021; Zbl 1462.15022) Full Text: DOI arXiv
Nigam, H. K.; Mursaleen, M.; Rani, Supriya Approximation of functions in generalized Zygmund class by double Hausdorff matrix. (English) Zbl 1485.42002 Adv. Difference Equ. 2020, Paper No. 317, 19 p. (2020). MSC: 42A10 40C05 42B05 40G05 41A25 15A60 PDFBibTeX XMLCite \textit{H. K. Nigam} et al., Adv. Difference Equ. 2020, Paper No. 317, 19 p. (2020; Zbl 1485.42002) Full Text: DOI
Uohashi, Keiko Generalized parallel sums on symmetric cones and series parallel circuits. (English) Zbl 1523.17065 Appl. Sci. 22, 239-247 (2020). Reviewer: Ali Morassaei (Zanjan) MSC: 17C50 15B48 47A64 PDFBibTeX XMLCite \textit{K. Uohashi}, Appl. Sci. 22, 239--247 (2020; Zbl 1523.17065) Full Text: Link
Dragomir, Silvestru Sever On some Hölder type trace inequalities for operator weighted geometric mean. (English) Zbl 07345520 Acta Comment. Univ. Tartu. Math. 24, No. 2, 271-280 (2020). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A63 47A64 26D15 26D10 15A60 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Acta Comment. Univ. Tartu. Math. 24, No. 2, 271--280 (2020; Zbl 07345520) Full Text: DOI
Nakayama, Ryosuke; Seo, Yuki; Tojo, Reo Matrix Ostrowski inequality via the matrix geometric mean. (English) Zbl 1462.15024 J. Math. Inequal. 14, No. 4, 1375-1382 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 15A60 47A64 PDFBibTeX XMLCite \textit{R. Nakayama} et al., J. Math. Inequal. 14, No. 4, 1375--1382 (2020; Zbl 1462.15024) Full Text: DOI
Dumitru, Raluca; Franco, Jose A. The Rényi power means of matrices. (English) Zbl 1512.15025 Linear Algebra Appl. 607, 45-57 (2020). MSC: 15A60 47A30 PDFBibTeX XMLCite \textit{R. Dumitru} and \textit{J. A. Franco}, Linear Algebra Appl. 607, 45--57 (2020; Zbl 1512.15025) Full Text: DOI
Lemos, Rute; Soares, Graça Spectral inequalities for Kubo-Ando operator means. (English) Zbl 1461.15022 Linear Algebra Appl. 607, 29-44 (2020). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A42 47A63 47A64 47A30 47B15 PDFBibTeX XMLCite \textit{R. Lemos} and \textit{G. Soares}, Linear Algebra Appl. 607, 29--44 (2020; Zbl 1461.15022) Full Text: DOI Link
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe Geometric matrix midranges. (English) Zbl 1456.15031 SIAM J. Matrix Anal. Appl. 41, No. 3, 1347-1368 (2020). MSC: 15B48 53C22 47N10 90C26 PDFBibTeX XMLCite \textit{C. Mostajeran} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1347--1368 (2020; Zbl 1456.15031) Full Text: DOI arXiv
Choi, Hayoung; Kim, Sejong; Shi, Yuanming Geometric mean of partial positive definite matrices with missing entries. (English) Zbl 1456.15030 Linear Multilinear Algebra 68, No. 12, 2408-2433 (2020). MSC: 15B48 47A64 PDFBibTeX XMLCite \textit{H. Choi} et al., Linear Multilinear Algebra 68, No. 12, 2408--2433 (2020; Zbl 1456.15030) Full Text: DOI arXiv
Fujimoto, Masayuki; Seo, Yuki Mixed Schwarz inequalities via the matrix geometric mean. (English) Zbl 1457.15019 Sci. Math. Jpn. 83, No. 1, 59-70 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 47A63 47A64 PDFBibTeX XMLCite \textit{M. Fujimoto} and \textit{Y. Seo}, Sci. Math. Jpn. 83, No. 1, 59--70 (2020; Zbl 1457.15019)
Yuan, Xinru; Huang, Wen; Absil, P.-A.; Gallivan, Kyle A. Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. (English) Zbl 1474.65131 Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020). MSC: 65F99 15B48 PDFBibTeX XMLCite \textit{X. Yuan} et al., Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020; Zbl 1474.65131) Full Text: DOI
Hajmohamadi, Monire; Lashkaripour, Rahmatollah; Bakherad, Mojtaba Improvements of Berezin number inequalities. (English) Zbl 07275246 Linear Multilinear Algebra 68, No. 6, 1218-1229 (2020). MSC: 47A30 15A60 30E20 47A12 PDFBibTeX XMLCite \textit{M. Hajmohamadi} et al., Linear Multilinear Algebra 68, No. 6, 1218--1229 (2020; Zbl 07275246) Full Text: DOI arXiv
Hwang, Jinmi; Kim, Sejong Tensor product and Hadamard product for the Wasserstein means. (English) Zbl 1448.15048 Linear Algebra Appl. 603, 496-507 (2020). MSC: 15B57 15A69 47A64 PDFBibTeX XMLCite \textit{J. Hwang} and \textit{S. Kim}, Linear Algebra Appl. 603, 496--507 (2020; Zbl 1448.15048) Full Text: DOI arXiv
Pitrik, József; Virosztek, Dániel Quantum Hellinger distances revisited. (English) Zbl 1518.47034 Lett. Math. Phys. 110, No. 8, 2039-2052 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A64 15A24 81Q10 PDFBibTeX XMLCite \textit{J. Pitrik} and \textit{D. Virosztek}, Lett. Math. Phys. 110, No. 8, 2039--2052 (2020; Zbl 1518.47034) Full Text: DOI arXiv
Alrimawi, Fadi; Kawariq, Hani; Abushaheen, Fuad A. Some matrix and norm inequalities for positive definite matrices. (English) Zbl 1447.15014 Int. J. Math. Comput. Sci. 15, No. 3, 845-855 (2020). MSC: 15A45 15A18 15A42 15A60 47A64 15B48 PDFBibTeX XMLCite \textit{F. Alrimawi} et al., Int. J. Math. Comput. Sci. 15, No. 3, 845--855 (2020; Zbl 1447.15014) Full Text: Link
Yuan, Xinru; Huang, Wen; Absil, Pierre-Antoine; Gallivan, Kyle A. Averaging symmetric positive-definite matrices. (English) Zbl 1512.15041 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 555-575 (2020). MSC: 15B48 53B21 PDFBibTeX XMLCite \textit{X. Yuan} et al., in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 555--575 (2020; Zbl 1512.15041) Full Text: DOI
Fujii, Jun Ichi Means for fixed rank PSD matrices. (English) Zbl 1440.15031 Adv. Oper. Theory 5, No. 3, 816-838 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B48 15A60 47A64 15A16 51M35 PDFBibTeX XMLCite \textit{J. I. Fujii}, Adv. Oper. Theory 5, No. 3, 816--838 (2020; Zbl 1440.15031) Full Text: DOI
Nakayama, Ryosuke; Seo, Yuki; Tojo, Reo Matrix Hölder-McCarthy inequality via matrix geometric means. (English) Zbl 1450.15019 Adv. Oper. Theory 5, No. 3, 744-767 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15A10 47A63 47A64 PDFBibTeX XMLCite \textit{R. Nakayama} et al., Adv. Oper. Theory 5, No. 3, 744--767 (2020; Zbl 1450.15019) Full Text: DOI
Uchiyama, Mitsuru Some results on matrix means. (English) Zbl 1450.15020 Adv. Oper. Theory 5, No. 3, 728-733 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15A10 15A60 47A64 PDFBibTeX XMLCite \textit{M. Uchiyama}, Adv. Oper. Theory 5, No. 3, 728--733 (2020; Zbl 1450.15020) Full Text: DOI
Kosaki, Hideki Positive definiteness of certain functions and comparison of power difference and Heinz means. (English) Zbl 1441.42001 Adv. Oper. Theory 5, No. 3, 657-679 (2020). Reviewer: Mohsen Kian (Bojnord) MSC: 42A82 26E40 47A64 15A60 PDFBibTeX XMLCite \textit{H. Kosaki}, Adv. Oper. Theory 5, No. 3, 657--679 (2020; Zbl 1441.42001) Full Text: DOI
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
Kian, Mohsen; Rashid, Fatemeh Matrix power means and Pólya-Szegő type inequalities. (English) Zbl 1449.15053 Surv. Math. Appl. 15, 315-324 (2020). MSC: 15A45 15B48 15A60 PDFBibTeX XMLCite \textit{M. Kian} and \textit{F. Rashid}, Surv. Math. Appl. 15, 315--324 (2020; Zbl 1449.15053) Full Text: EMIS
Minh, Hà Quang Infinite-dimensional log-determinant divergences between positive definite Hilbert-Schmidt operators. (English) Zbl 1506.47063 Positivity 24, No. 3, 631-662 (2020). MSC: 47B65 47L07 15A15 PDFBibTeX XMLCite \textit{H. Q. Minh}, Positivity 24, No. 3, 631--662 (2020; Zbl 1506.47063) Full Text: DOI arXiv
Choi, Hana; Choi, Hayoung; Kim, Sejong; Lee, Hosoo Extension of block matrix representation of the geometric mean. (English) Zbl 1440.15029 J. Korean Math. Soc. 57, No. 3, 641-653 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B48 15A45 15A83 15A60 47A64 PDFBibTeX XMLCite \textit{H. Choi} et al., J. Korean Math. Soc. 57, No. 3, 641--653 (2020; Zbl 1440.15029) Full Text: DOI
Moradi, Hamid Reza; Heydarbeygi, Zahra; Sababheh, Mohammad Subadditive inequalities for operators. (English) Zbl 1444.47025 Math. Inequal. Appl. 23, No. 1, 317-327 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A63 47A64 47B65 15A60 PDFBibTeX XMLCite \textit{H. R. Moradi} et al., Math. Inequal. Appl. 23, No. 1, 317--327 (2020; Zbl 1444.47025) Full Text: DOI arXiv
Ghabries, Mohammad M.; Abbas, Hassane; Mourad, Bassam On some open questions concerning determinantal inequalities. (English) Zbl 1442.15033 Linear Algebra Appl. 596, 169-183 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 15B57 15A60 47A64 PDFBibTeX XMLCite \textit{M. M. Ghabries} et al., Linear Algebra Appl. 596, 169--183 (2020; Zbl 1442.15033) Full Text: DOI
Kim, Sejong; Lee, Hosoo Inequalities of the Wasserstein mean with other matrix means. (English) Zbl 1455.15004 Ann. Funct. Anal. 11, No. 1, 194-207 (2020). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 15A45 15A60 47B65 47A64 PDFBibTeX XMLCite \textit{S. Kim} and \textit{H. Lee}, Ann. Funct. Anal. 11, No. 1, 194--207 (2020; Zbl 1455.15004) Full Text: DOI
Ghiglioni, Eduardo M. New deterministic approaches to the least square mean. (English) Zbl 1432.15032 Linear Algebra Appl. 585, 50-59 (2020). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 15B48 47A64 15A60 PDFBibTeX XMLCite \textit{E. M. Ghiglioni}, Linear Algebra Appl. 585, 50--59 (2020; Zbl 1432.15032) Full Text: DOI arXiv
Lee, Hosoo The Hadamard product for weighted geometric means. (English) Zbl 1465.15027 Linear Nonlinear Anal. 5, No. 2, 343-353 (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 15A45 15A60 15A69 47A64 47A63 PDFBibTeX XMLCite \textit{H. Lee}, Linear Nonlinear Anal. 5, No. 2, 343--353 (2019; Zbl 1465.15027) Full Text: Link
Beylkin, Gregory; Monzón, Lucas; Yang, Xinshuo Reduction of multivariate mixtures and its applications. (English) Zbl 1451.65176 J. Comput. Phys. 383, 94-124 (2019). MSC: 65N15 15A23 65F25 35J05 81V70 PDFBibTeX XMLCite \textit{G. Beylkin} et al., J. Comput. Phys. 383, 94--124 (2019; Zbl 1451.65176) Full Text: DOI arXiv
Kian, Mohsen; Seo, Yuki Norm inequalities related to the matrix geometric mean and negative power. (English) Zbl 1448.15026 Sci. Math. Jpn. 82, No. 3, 191-200 (2019). MSC: 15A45 15A60 47A64 PDFBibTeX XMLCite \textit{M. Kian} and \textit{Y. Seo}, Sci. Math. Jpn. 82, No. 3, 191--200 (2019; Zbl 1448.15026)
Iannazzo, Bruno; Jeuris, Ben; Pompili, Filippo The derivative of the matrix geometric mean with an application to the nonnegative decomposition of tensor grids. (English) Zbl 1445.15017 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 107-128 (2019). Reviewer: V. Lokesha (Bangalore) MSC: 15A60 26E60 47A64 PDFBibTeX XMLCite \textit{B. Iannazzo} et al., Springer INdAM Ser. 30, 107--128 (2019; Zbl 1445.15017) Full Text: DOI
Fujii, Masatoshi Cauchy-Schwarz inequality and Riccati equation for positive semidefinite matrices. (English) Zbl 1448.15024 Andrica, Dorin (ed.) et al., Differential and integral inequalities. Cham: Springer. Springer Optim. Appl. 151, 341-350 (2019). Reviewer: Mojtaba Bakherad (Zahedan) MSC: 15A45 47A64 15A09 15A10 15A24 15B48 PDFBibTeX XMLCite \textit{M. Fujii}, Springer Optim. Appl. 151, 341--350 (2019; Zbl 1448.15024) Full Text: DOI
Cabanes, Yann; Barbaresco, Frédéric; Arnaudon, Marc; Bigot, Jérémie Toeplitz Hermitian positive definite matrix machine learning based on Fisher metric. (English) Zbl 1458.94078 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 261-270 (2019). MSC: 94A12 15B05 62H30 PDFBibTeX XMLCite \textit{Y. Cabanes} et al., Lect. Notes Comput. Sci. 11712, 261--270 (2019; Zbl 1458.94078) Full Text: DOI HAL
Dragomir, Sever S. Multiplicative inequalities for weighted arithmetic and harmonic operator means. (English) Zbl 1435.47027 Acta Univ. Sapientiae, Math. 11, No. 1, 54-65 (2019). Reviewer: Takeaki Yamazaki (Kawagoe) MSC: 47A63 47A30 15A60 26D15 26D10 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Acta Univ. Sapientiae, Math. 11, No. 1, 54--65 (2019; Zbl 1435.47027) Full Text: DOI
Abe, Hiroyasu; Yadohisa, Hiroshi Orthogonal nonnegative matrix tri-factorization based on Tweedie distributions. (English) Zbl 1488.62083 Adv. Data Anal. Classif., ADAC 13, No. 4, 825-853 (2019). MSC: 62H30 68T10 15A23 PDFBibTeX XMLCite \textit{H. Abe} and \textit{H. Yadohisa}, Adv. Data Anal. Classif., ADAC 13, No. 4, 825--853 (2019; Zbl 1488.62083) Full Text: DOI
Bakherad, Mojtaba; Lashkaripour, Rahmatollah; Yamancı, Ulas Complete refinements of the Berezin number inequalities. (English) Zbl 07176009 J. Math. Inequal. 13, No. 4, 1117-1128 (2019). MSC: 47A30 15A60 30E20 47A12 PDFBibTeX XMLCite \textit{M. Bakherad} et al., J. Math. Inequal. 13, No. 4, 1117--1128 (2019; Zbl 07176009) Full Text: DOI
Sheikhhosseini, Alemeh; Khosravi, Maryam On a refined operator version of Young’s inequality and its reverse. (English) Zbl 1448.47027 Electron. J. Linear Algebra 35, 441-448 (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A63 47A64 15A42 PDFBibTeX XMLCite \textit{A. Sheikhhosseini} and \textit{M. Khosravi}, Electron. J. Linear Algebra 35, 441--448 (2019; Zbl 1448.47027) Full Text: arXiv Link