Norm inequalities related to the matrix geometric mean

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Cite
Bhatia, Rajendra, and Priyanka Grover. “Norm Inequalities Related to the Matrix Geometric Mean”. Linear Algebra and Its Applications, vol. 437, no. 2, 2012, pp. 726-33, https://doi.org/10.1016/j.laa.2012.03.001.
Bhatia, R., & Grover, P. (2012). Norm inequalities related to the matrix geometric mean. Linear Algebra and Its Applications, 437(2), 726-733. https://doi.org/10.1016/j.laa.2012.03.001
Bhatia, Rajendra, and Priyanka Grover. “Norm Inequalities Related to the Matrix Geometric Mean”. Linear Algebra and Its Applications 437, no. 2 (2012): 726-33. https://doi.org/10.1016/j.laa.2012.03.001.
1.
Bhatia R, Grover P. Norm inequalities related to the matrix geometric mean. Linear Algebra and its Applications. 2012;437(2):726-33.
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Mathematics
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Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Some inequalities for unitarily invariant norm Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
8 2012
An effective matrix geometric mean satisfying the Ando–Li–Mathias properties Mathematics of Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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2010
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22 2009
The matrix arithmetic–geometric mean inequality revisited Linear Algebra and its Applications
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47 2008
Riemannian geometry and matrix geometric means Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
142 2006
Refrences Analysis
The category Science: Mathematics 15 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Mathematische Annalen. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
New multivariable mean from nonlinear matrix equation associated to the harmonic mean Acta Scientiarum Mathematicarum
  • Science: Mathematics
2024
Some matrix inequalities related to norm and singular values

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Inequalities on $ 2\times 2 $ block accretive partial transpose matrices

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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Simple and Tighter Derivation of Achievability for Classical Communication Over Quantum Channels PRX Quantum
  • Science: Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
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  • Science: Physics
1 2023
Citations Analysis
The category Science: Mathematics 27 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On matrix inequalities between the power means: Counterexamples and was published in 2013. The most recent citation comes from a 2024 study titled New multivariable mean from nonlinear matrix equation associated to the harmonic mean. This article reached its peak citation in 2017, with 6 citations. It has been cited in 16 different journals, 12% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year