Norm inequalities involving accretive-dissipative 2 × 2 block matrices

Article Properties
Cite
Gumus, Ibrahim Halil, et al. “Norm Inequalities Involving Accretive-Dissipative 2 × 2 Block Matrices”. Linear Algebra and Its Applications, vol. 528, 2017, pp. 76-93, https://doi.org/10.1016/j.laa.2016.04.015.
Gumus, I. H., Hirzallah, O., & Kittaneh, F. (2017). Norm inequalities involving accretive-dissipative 2 × 2 block matrices. Linear Algebra and Its Applications, 528, 76-93. https://doi.org/10.1016/j.laa.2016.04.015
Gumus, Ibrahim Halil, Omar Hirzallah, and Fuad Kittaneh. “Norm Inequalities Involving Accretive-Dissipative 2 × 2 Block Matrices”. Linear Algebra and Its Applications 528 (2017): 76-93. https://doi.org/10.1016/j.laa.2016.04.015.
Gumus IH, Hirzallah O, Kittaneh F. Norm inequalities involving accretive-dissipative 2 × 2 block matrices. Linear Algebra and its Applications. 2017;528:76-93.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Rotfel’d inequality for partitioned matrices with numerical ranges in a sector Linear and Multilinear Algebra
  • Science: Mathematics
13 2016
A further extension of Rotfel’d theorem Linear and Multilinear Algebra
  • Science: Mathematics
10 2015
A matrix decomposition and its applications Linear and Multilinear Algebra
  • Science: Mathematics
61 2015
Unitarily invariant norm inequalities for accretive–dissipative operator matrices Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
10 2014
A note on the growth factor in Gaussian elimination for accretive-dissipative matrices Calcolo
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
10 2014
Refrences Analysis
The category Science: Mathematics 16 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Proceedings of the American Mathematical Society. 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
Inequalities for functions of $$2\times 2$$ block matrices Acta Scientiarum Mathematicarum
  • Science: Mathematics
2023
Inequalities for products of singular values of matrices Linear and Multilinear Algebra
  • Science: Mathematics
2023
Norm and numerical radius inequalities for operator matrices Linear and Multilinear Algebra
  • Science: Mathematics
2023
Singular value inequalities for convex functions of positive semidefinite matrices Annals of Functional Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
5 2022
Spectral radius inequalities for operator matrices with commuting entries

Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2022
Citations Analysis
The category Science: Mathematics 18 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Inequalities for accretive-dissipative matrices and was published in 2018. The most recent citation comes from a 2023 study titled Norm and numerical radius inequalities for operator matrices. This article reached its peak citation in 2020, with 8 citations. It has been cited in 9 different journals, 11% of which are open access. Among related journals, the Linear and Multilinear Algebra cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year