The possible shapes of numerical ranges

Article Properties
Cite
William Helton, J., and Ilya M. Spitkovsky. “The Possible Shapes of Numerical Ranges”. Operators and Matrices, no. 3, 2012, pp. 607-11, https://doi.org/10.7153/oam-06-41.
William Helton, J., & Spitkovsky, I. M. (2012). The possible shapes of numerical ranges. Operators and Matrices, 3, 607-611. https://doi.org/10.7153/oam-06-41
William Helton, J., and Ilya M. Spitkovsky. “The Possible Shapes of Numerical Ranges”. Operators and Matrices, no. 3 (2012): 607-11. https://doi.org/10.7153/oam-06-41.
William Helton J, Spitkovsky IM. The possible shapes of numerical ranges. Operators and Matrices. 2012;(3):607-11.
Journal Category
Science
Mathematics
Citations
Title Journal Journal Categories Citations Publication Date
Theta divisor and Abel map for 4-by-4 matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Crouzeix's conjecture for classes of matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Computing real definite representations of Helton–Vinnikov theorem Banach Journal of Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
Numerical ranges of Hankel matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Citations Analysis
Category Category Repetition
Science: Mathematics18
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods11
Science: Physics1
Science: Science (General)1
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 On Numerical Ranges of Rank-Two Operators and was published in 2013. The most recent citation comes from a 2023 study titled Crouzeix's conjecture for classes of matrices. This article reached its peak citation in 2022, with 3 citations. It has been cited in 11 different journals, 18% of which are open access. 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