Positive matrices partitioned into a small number of Hermitian blocks
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2013/03/01
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Indian UGC (journal)
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Refrences6
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Citations9
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Jean-Christophe Bourin
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Eun-Young Lee
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Minghua Lin
Cite
Bourin, Jean-Christophe, et al. “Positive Matrices Partitioned into a Small Number of Hermitian Blocks”. Linear Algebra and Its Applications, vol. 438, no. 5, 2013, pp. 2591-8, https://doi.org/10.1016/j.laa.2012.10.033.
Bourin, J.-C., Lee, E.-Y., & Lin, M. (2013). Positive matrices partitioned into a small number of Hermitian blocks. Linear Algebra and Its Applications, 438(5), 2591-2598. https://doi.org/10.1016/j.laa.2012.10.033
Bourin, Jean-Christophe, Eun-Young Lee, and Minghua Lin. “Positive Matrices Partitioned into a Small Number of Hermitian Blocks”. Linear Algebra and Its Applications 438, no. 5 (2013): 2591-98. https://doi.org/10.1016/j.laa.2012.10.033.
Bourin JC, Lee EY, Lin M. Positive matrices partitioned into a small number of Hermitian blocks. Linear Algebra and its Applications. 2013;438(5):2591-8.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On a decomposition lemma for positive semi-definite block-matrices | Linear Algebra and its Applications |
| 18 | 2012 |
| Unitary orbits of Hermitian operators with convex or concave functions | Bulletin of the London Mathematical Society |
| 47 | 2012 |
| Norm and anti-norm inequalities for positive semi-definite matrices | International Journal of Mathematics |
| 2011 | |
| A matrix trace inequality and its application | Linear Algebra and its Applications |
| 7 | 2010 |
| 10.1103/PhysRevLett.91.057902 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 2 |
The category
Science: Mathematics 3
is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and International Journal of Mathematics. 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 |
|---|---|---|---|---|
| Improvements on some partial trace inequalities for positive semidefinite block matrices | Linear and Multilinear Algebra |
| 1 | 2022 |
NUMERICAL RANGE AND POSITIVE BLOCK MATRICES | Bulletin of the Australian Mathematical Society |
| 2020 | |
| A treatment of a determinant inequality of Fiedler and Markham | Czechoslovak Mathematical Journal |
| 8 | 2016 |
| Some new results for Hua-type operator matrices | Linear Algebra and its Applications |
| 1 | 2016 |
| The off-diagonal block of a PPT matrix | Linear Algebra and its Applications |
| 10 | 2015 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 9 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 4 |
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 DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS and was published in 2013. 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 2016, with 2 citations. It has been cited in 6 different journals. 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.