Hiroshima’s theorem and matrix norm inequalities

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Cite
Lin, Minghua, and Henry Wolkowicz. “Hiroshima’s Theorem and Matrix Norm Inequalities”. Acta Scientiarum Mathematicarum, vol. 81, no. 1-2, 2015, pp. 45-53, https://doi.org/10.14232/actasm-013-821-3.
Lin, M., & Wolkowicz, H. (2015). Hiroshima’s theorem and matrix norm inequalities. Acta Scientiarum Mathematicarum, 81(1-2), 45-53. https://doi.org/10.14232/actasm-013-821-3
Lin, Minghua, and Henry Wolkowicz. “Hiroshima’s Theorem and Matrix Norm Inequalities”. Acta Scientiarum Mathematicarum 81, no. 1-2 (2015): 45-53. https://doi.org/10.14232/actasm-013-821-3.
Lin M, Wolkowicz H. Hiroshima’s theorem and matrix norm inequalities. Acta Scientiarum Mathematicarum. 2015;81(1-2):45-53.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
10.1103/PhysRevLett.91.057902 Physical Review Letters
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Physics
  • Science: Physics
 2003
Positive matrices partitioned into a small number of Hermitian blocks Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 9 2013
10.1142/S0129167X13500109 2013
An eigenvalue majorization inequality for positive semidefinite block matrices Linear and Multilinear Algebra
  • Science: Mathematics
 13 2012
How to compare the absolute values of operator sums and the sums of absolute values? Operators and Matrices
  • Science: Mathematics
 2 2012
Refrences Analysis
Category Category Repetition
Science: Physics8
Science: Mathematics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Science: Chemistry: Physical and theoretical chemistry1
The category Science: Physics 8 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Banach Journal of Mathematical Analysis. 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
Study of Eigenvalues of Some Matrices via Dilations Results in Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Singular values inequalities via matrix monotone functions Analysis and Mathematical Physics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Norm inequalities for sector block matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2020
Some inequalities related to $2\times 2$ block sector partial transpose matrices

 Journal of Inequalities and Applications
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2020
On some inequalities related to positive block matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 5 2019
Citations Analysis
Category Category Repetition
Science: Mathematics9
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods7
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 Submajorization and p-norm inequalities associated with -measurable operators and was published in 2016. The most recent citation comes from a 2023 study titled Study of Eigenvalues of Some Matrices via Dilations. This article reached its peak citation in 2023, with 2 citations. It has been cited in 6 different journals, 33% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year