Concavity of certain matrix trace and norm functions

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Hiai, Fumio. “Concavity of Certain Matrix Trace and Norm Functions”. Linear Algebra and Its Applications, vol. 439, no. 5, 2013, pp. 1568-89, https://doi.org/10.1016/j.laa.2013.04.020.
Hiai, F. (2013). Concavity of certain matrix trace and norm functions. Linear Algebra and Its Applications, 439(5), 1568-1589. https://doi.org/10.1016/j.laa.2013.04.020
Hiai, Fumio. “Concavity of Certain Matrix Trace and Norm Functions”. Linear Algebra and Its Applications 439, no. 5 (2013): 1568-89. https://doi.org/10.1016/j.laa.2013.04.020.
Hiai F. Concavity of certain matrix trace and norm functions. Linear Algebra and its Applications. 2013;439(5):1568-89.
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Refrences
Title Journal Journal Categories Citations Publication Date
Jensen’s inequality for operators without operator convexity Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
12 2011
Norm and anti-norm inequalities for positive semi-definite matrices 2011
A unified treatment of convexity of relative entropy and related trace functions, with conditions for equality Reviews in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2010
A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity Letters in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
54 2008
On joint convexity of trace functions Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
16 2004
Refrences Analysis
The category Science: Mathematics 9 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Letters in Mathematical Physics. The chart below illustrates the number of referenced publications per year.
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Citations
Title Journal Journal Categories Citations Publication Date
Some Continuity Properties of Quantum Rényi Divergences IEEE Transactions on Information Theory
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Some Convexity and Monotonicity Results of Trace Functionals Annales Henri Poincaré
  • Science: Physics
  • Science: Physics: Atomic physics. Constitution and properties of matter
  • Science: Mathematics
  • Science: Physics
2023
Super-exponential distinguishability of correlated quantum states

Letters in Mathematical Physics
  • Science: Mathematics
  • Science: Physics
2023
Reducing the dimensionality of data using tempered distributions Digital Signal Processing
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
1 2023
On jointly concavity of some trace functions Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 25 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On matrix inequalities between the power means: Counterexamples and was published in 2013. The most recent citation comes from a 2024 study titled Some Continuity Properties of Quantum Rényi Divergences. This article reached its peak citation in 2015, with 6 citations. It has been cited in 14 different journals. Among related journals, the Linear Algebra and its Applications cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year