Higher-rank numerical ranges of unitary and normal matrices

Article Properties
  • Language
    English
  • DOI (url)
    10.7153/oam-01-24
  • Publication Date
    2007/01/01
  • Journal
    Operators and Matrices
  • Indian UGC (journal)
  • Citations
    26
  • Man-Duen Choi
  • John A. Holbrook
  • David W. Kribs
  • Karol Życzkowski
Cite
Choi, Man-Duen, et al. “Higher-Rank Numerical Ranges of Unitary and Normal Matrices”. Operators and Matrices, no. 3, 2007, pp. 409-26, https://doi.org/10.7153/oam-01-24.
Choi, M.-D., Holbrook, J. A., Kribs, D. W., & Życzkowski, K. (2007). Higher-rank numerical ranges of unitary and normal matrices. Operators and Matrices, 3, 409-426. https://doi.org/10.7153/oam-01-24
Choi, Man-Duen, John A. Holbrook, David W. Kribs, and Karol Życzkowski. “Higher-Rank Numerical Ranges of Unitary and Normal Matrices”. Operators and Matrices, no. 3 (2007): 409-26. https://doi.org/10.7153/oam-01-24.
Choi MD, Holbrook JA, Kribs DW, Życzkowski K. Higher-rank numerical ranges of unitary and normal matrices. Operators and Matrices. 2007;(3):409-26.
Journal Category
Science
Mathematics
Citations
Title Journal Journal Categories Citations Publication Date
Higher rank numerical ranges of normal operators and unitary dilations Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
On Kippenhahn curves and higher-rank numerical ranges of some matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2 2021
Higher rank numerical ranges of Jordan-like matrices Linear and Multilinear Algebra
  • Science: Mathematics
 2019
Pauli group: Classification and joint higher rank numerical range Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2018
An Inverse Problem for the $k$-Rank Numerical Range SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2016
Citations Analysis
Category Category Repetition
Science: Mathematics26
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods14
Science: Physics3
The category Science: Mathematics 26 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Higher rank numerical ranges and low rank perturbations of quantum channels and was published in 2008. The most recent citation comes from a 2023 study titled Higher rank numerical ranges of normal operators and unitary dilations. This article reached its peak citation in 2011, with 4 citations. It has been cited in 10 different journals. Among related journals, the Linear Algebra and its Applications 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