Positive semi-definite 2 × 2 block matrices and norm inequalities

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Cite
Gumus, Mehmet, et al. “Positive Semi-Definite 2 × 2 Block Matrices and Norm Inequalities”. Linear Algebra and Its Applications, vol. 551, 2018, pp. 83-91, https://doi.org/10.1016/j.laa.2018.03.046.
Gumus, M., Liu, J., Raouafi, S., & Tam, T.-Y. (2018). Positive semi-definite 2 × 2 block matrices and norm inequalities. Linear Algebra and Its Applications, 551, 83-91. https://doi.org/10.1016/j.laa.2018.03.046
Gumus, Mehmet, Jianzhen Liu, Samir Raouafi, and Tin-Yau Tam. “Positive Semi-Definite 2 × 2 Block Matrices and Norm Inequalities”. Linear Algebra and Its Applications 551 (2018): 83-91. https://doi.org/10.1016/j.laa.2018.03.046.
Gumus M, Liu J, Raouafi S, Tam TY. Positive semi-definite 2 × 2 block matrices and norm inequalities. Linear Algebra and its Applications. 2018;551:83-91.
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Refrences
Title Journal Journal Categories Citations Publication Date
On a decomposition lemma for positive semi-definite block-matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
18 2012
Unitary orbits of Hermitian operators with convex or concave functions Bulletin of the London Mathematical Society
  • Science: Mathematics
47 2012
Positive block matrices and numerical ranges Comptes Rendus. Mathématique
  • Science: Mathematics
  • Science: Mathematics
6 2017
Hiroshima’s theorem and matrix norm inequalities Acta Scientiarum Mathematicarum
  • Science: Mathematics
9 2015
Decomposition and partial trace of positive matrices with Hermitian blocks 2013
Refrences Analysis
The category Science: Physics 4 is the most frequently represented among the references in this article. It primarily includes studies from Bulletin of the London Mathematical Society and Linear Algebra and its 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
Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks

Journal of Mathematics
  • Science: Mathematics
  • Science: Mathematics
2024
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
Eigenvalue inequalities for positive block matrices with the inradius of the numerical range

International Journal of Mathematics
  • Science: Mathematics
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
Citations Analysis
The category Science: Mathematics 9 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A norm inequality for positive block matrices and was published in 2018. The most recent citation comes from a 2024 study titled Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks. This article reached its peak citation in 2020, with 3 citations. It has been cited in 7 different journals, 28% of which are open access. Among related journals, the Linear Algebra and its Applications 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