The matrix arithmetic–geometric mean inequality revisited

Article Properties
Cite
Bhatia, Rajendra, and Fuad Kittaneh. “The Matrix arithmetic–geometric Mean Inequality Revisited”. Linear Algebra and Its Applications, vol. 428, no. 8-9, 2008, pp. 2177-91, https://doi.org/10.1016/j.laa.2007.11.030.
Bhatia, R., & Kittaneh, F. (2008). The matrix arithmetic–geometric mean inequality revisited. Linear Algebra and Its Applications, 428(8-9), 2177-2191. https://doi.org/10.1016/j.laa.2007.11.030
Bhatia, Rajendra, and Fuad Kittaneh. “The Matrix arithmetic–geometric Mean Inequality Revisited”. Linear Algebra and Its Applications 428, no. 8-9 (2008): 2177-91. https://doi.org/10.1016/j.laa.2007.11.030.
Bhatia R, Kittaneh F. The matrix arithmetic–geometric mean inequality revisited. Linear Algebra and its Applications. 2008;428(8-9):2177-91.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Norm inequalities for commutators of positive operators and applications Mathematische Zeitschrift
  • Science: Mathematics
 21 2008
Eigenvalue inequalities for convex and log-convex functions Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 31 2007
Inequalities for sums and direct sums of Hilbert space operators Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 16 2007
A singular value inequality for Heinz means Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 19 2007
Inequalities for commutators of positive operators Journal of Functional Analysis
  • Science: Mathematics
 32 2007
Refrences Analysis
Category Category Repetition
Science: Mathematics28
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods20
Science: Physics1
The category Science: Mathematics 28 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and SIAM Journal on Matrix Analysis and Applications. 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
Notes on the arithmetic–geometric mean inequality Aequationes mathematicae
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Singular value inequalities with applications to norms and means of matrices Acta Scientiarum Mathematicarum
  • Science: Mathematics
 2024
A closer look at some new lower bounds on the minimum singular value of a matrix Examples and Counterexamples 2024
Diagonal and off-diagonal blocks of positive definite partitioned matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Norm inequalities for the spectral spread of Hermitian operators

 Mathematische Nachrichten
  • Science: Mathematics
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics35
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods23
Science: Physics1
Science: Science (General)1
The category Science: Mathematics 35 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The singular values of A+B and A+iB and was published in 2009. The most recent citation comes from a 2024 study titled Singular value inequalities with applications to norms and means of matrices. This article reached its peak citation in 2013, with 7 citations. It has been cited in 19 different journals, 5% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 15 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year