Trace inequalities for positive semidefinite block matrices

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Cite
Kittaneh, Fuad, and Minghua Lin. “Trace Inequalities for Positive Semidefinite Block Matrices”. Linear Algebra and Its Applications, vol. 524, 2017, pp. 153-8, https://doi.org/10.1016/j.laa.2017.03.004.
Kittaneh, F., & Lin, M. (2017). Trace inequalities for positive semidefinite block matrices. Linear Algebra and Its Applications, 524, 153-158. https://doi.org/10.1016/j.laa.2017.03.004
Kittaneh, Fuad, and Minghua Lin. “Trace Inequalities for Positive Semidefinite Block Matrices”. Linear Algebra and Its Applications 524 (2017): 153-58. https://doi.org/10.1016/j.laa.2017.03.004.
Kittaneh F, Lin M. Trace inequalities for positive semidefinite block matrices. Linear Algebra and its Applications. 2017;524:153-8.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Inequalities related to 2 ✕ 2 block PPT matrices Operators and Matrices
  • Science: Mathematics
21 2015
A completely PPT map Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
17 2014
Subadditivity of q-entropies for q>1

Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
51 2007
Trace inequality for positive block matrices, IMAGE Solution 50-3.1 2013
Trace inequality for positive block matrices, IMAGE Problem 50-3 2013
Citations
Title Journal Journal Categories Citations Publication Date
Extensions of some matrix inequalities related to trace and partial traces Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2022
Improvements on some partial trace inequalities for positive semidefinite block matrices Linear and Multilinear Algebra
  • Science: Mathematics
1 2022
An Oppenheim type inequality for positive definite block matrices Linear and Multilinear Algebra
  • Science: Mathematics
1 2021
Trace inequalities involving positive semi-definite block matrices Linear and Multilinear Algebra
  • Science: Mathematics
2021
Some applications of two completely copositive maps Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2020
Citations Analysis
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Some applications of two completely copositive maps and was published in 2020. The most recent citation comes from a 2022 study titled Improvements on some partial trace inequalities for positive semidefinite block matrices. This article reached its peak citation in 2022, with 2 citations. It has been cited in 2 different journals. Among related journals, the Linear and Multilinear Algebra cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year