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https://www.sciencedirect.com/science/article/pii/S0024379518300417

@article{lins2018normalized,
  title = {The normalized numerical range and the Davis--Wielandt shell},
  author = {Lins, Brian and Spitkovsky, Ilya M and Zhong, Siyu},
  journal = {Linear Algebra and its Applications},
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}

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https://nyuscholars.nyu.edu/en/publications/on-the-normalized-numerical-range

@article{gevorgyan2009normalized,
  title = {Normalized numerical ranges of some operators},
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  journal = {Operators and Matrices},
  volume = {3},
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}

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https://www.sciencedirect.com/science/article/pii/S0168927402002544

@article{auzinger2003sectorial,
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}

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https://www.sciencedirect.com/science/article/pii/S0096300313006231

@article{camenga2013numerical,
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}

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https://doi.org/10.1080/03081087.2015.1044247

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}

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https://doi.org/10.1080/03081087.2013.825911

@article{leake2014inverse,
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}

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https://www.sciencedirect.com/science/article/pii/S0096300313006231

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}

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https://doi.org/10.1016/j.laa.2014.08.010

@article{chien2015numerical,
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}

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https://doi.org/10.13001/1081-3810.3012

@article{spitkovsky2015line,
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}

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https://link.springer.com/article/10.1007/s00020-013-2092-y

@article{rodman2013numerical,
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}

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https://www.sciencedirect.com/science/article/pii/S0024379513007830

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}

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https://doi.org/10.1016/j.jmaa.2018.01.002

@article{birbonshi2018note,
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  author = {Birbonshi, Riddhick and Spitkovsky, Ilya M and Srivastava, PD},
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  number = {1},
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}

[13]P. Rault, T. Sendova, and I. Spitkovsky, “3-by-3 matrices with elliptical numerical range revisited,” The Electronic Journal of Linear Algebra, vol. 26, 2013, [Online]. Available at: https://www.researchgate.net/publication/267480998_3-by-3_matrices_with_elliptical_numerical_range_revisited.
https://www.researchgate.net/publication/267480998_3-by-3_matrices_with_elliptical_numerical_range_revisited
```
@article{rault20133,
  title = {3-by-3 matrices with elliptical numerical range revisited},
  author = {Rault, Patrick and Sendova, Tsvetanka and Spitkovsky, Ilya},
  journal = {The Electronic Journal of Linear Algebra},
  volume = {26},
  year = {2013},
  url = {https://www.researchgate.net/publication/267480998_3-by-3_matrices_with_elliptical_numerical_range_revisited}
}
```

[14]B. Lins and I. Spitkovsky, “Inverse continuity of the numerical range map for Hilbert space operators,” arXiv preprint arXiv:1810.04199, vol. 0, 2018, [Online]. Available at: https://arxiv.org/abs/1810.04199.

https://arxiv.org/abs/1810.04199

@article{lins2018inverse,
  title = {Inverse continuity of the numerical range map for Hilbert space operators},
  author = {Lins, Brian and Spitkovsky, Ilya},
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  volume = {0},
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}

[15]H.-L. Gau, P. Y. Wu, and others, “Numerical ranges and compressions of Sn-matrices,” Operators and Matrices, vol. 7, no. 2, pp. 465–476, 2013, [Online]. Available at: https://www.researchgate.net/profile/Pei_Wu2/publication/268664189_Numerical_ranges_and_compressions_of_S_n_-matrices/links/547e5a590cf2d2200ede9933/Numerical-ranges-and-compressions-of-S-n-matrices.pdf.
https://www.researchgate.net/profile/Pei_Wu2/publication/268664189_Numerical_ranges_and_compressions_of_S_n_-matrices/links/547e5a590cf2d2200ede9933/Numerical-ranges-and-compressions-of-S-n-matrices.pdf
```
@article{gau2013numerical,
  title = {Numerical ranges and compressions of Sn-matrices},
  author = {Gau, Hwa-Long and Wu, Pei Yuan and others},
  journal = {Operators and Matrices},
  volume = {7},
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}
```

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https://www.sciencedirect.com/science/article/pii/S0024379518301344

@article{adam2018elliptical,
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https://www.sciencedirect.com/science/article/pii/S0024379519302861

@article{camenga2019singularities,
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https://doi.org/10.13001/1081-3810.3774

@article{hamed2018maximal,
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https://arxiv.org/abs/2009.00272

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https://arxiv.org/abs/1907.04768

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https://www.tandfonline.com/doi/abs/10.1080/03081087.2020.1749225?journalCode=glma20

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https://arxiv.org/abs/1901.05245

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http://acta.bibl.u-szeged.hu/14354/1/math_033_fasc_003_004_179-192.pdf

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https://www.jstage.jst.go.jp/article/tmj1949/20/4/20_4_417/_article/-char/ja/

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https://www.sciencedirect.com/science/article/pii/S0024379517306456

@article{szymanski2017classification,
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@book{gustafson1997numerical,
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@article{gutkin2004toeplitz,
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https://www.researchgate.net/profile/Chi-Kwong_Li/publication/245067615_A_simple_proof_of_the_elliptical_range_theorem/links/540c53800cf2df04e753cb02.pdf
```
@article{li1996simple,
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}
```

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https://dx.doi.org/10.1016/0024-3795(95)00674-5

@article{keeler1997numerical,
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https://perso.univ-rennes1.fr/michel.crouzeix/publis/NopPb.pdf
```
@misc{crouzeix2006open,
  title = {Open problems on Numerical range and functional calculus},
  author = {Crouzeix, M.},
  year = {2006},
  url = {https://perso.univ-rennes1.fr/michel.crouzeix/publis/NopPb.pdf}
}
```

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@misc{psarrakos2002numerical,
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https://pdfs.semanticscholar.org/c6ba/fcc5e5fe8ba105e3dc86b498f95022db1984.pdf
```
@misc{shapiro2004notes,
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```

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@article{stampfli1970norm,
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@article{fiedler1981geometry,
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  volume = {37},
  pages = {81--96},
  year = {1981},
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@article{jonckheere1998differential,
  title = {Differential topology of numerical range},
  author = {Jonckheere, E. A. and Ahmad, F. and Gutkin, E.},
  journal = {Linear algebra and its applications},
  volume = {279},
  number = {1},
  pages = {227--254},
  year = {1998},
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  url = {https://www.sciencedirect.com/science/article/pii/S0024379598000214}
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https://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol20_pp322-332.pdf
```
@article{henrion2010semidefinite,
  title = {Semidefinite geometry of the numerical range},
  author = {Henrion, D.},
  journal = {Electronic Journal of Linear Algebra},
  volume = {20},
  pages = {322-332},
  year = {2010},
  url = {https://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol20_pp322-332.pdf}
}
```

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@article{helton2011possible,
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@article{chien2000area,
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  journal = {Ssoochow Journal of Mathematics},
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@article{eldred2012numerical,
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@article{maroulas1996geometrical,
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  journal = {Computers \& Mathematics with Applications},
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@article{spitkovsky2015pre,
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https://link.springer.com/chapter/10.1007/978-3-319-49182-0_23

@incollection{militzer2017numerical,
  title = {Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary},
  author = {Militzer, Erin and Patton, Linda J and Spitkovsky, Ilya M and Tsai, Ming-Cheng},
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}

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https://d1wqtxts1xzle7.cloudfront.net/40538136/Restricted_numerical_shadow_and_geometry20151201-28343-1tqkl28.pdf?1448978875=&response-content-disposition=inline%3B+filename%3DRestricted_numerical_shadow_and_the_geom.pdf&Expires=1592565216&Signature=Hejde5pW2ID8kfVbbr4wAHu9SsM221OAQUiQ21j6SW-rMFjUCgWyXtlxji-gowYWowFcbjFHF4XMCc3ieuGOozuW9PiuPtPvd W7pK6tfWiTywFcNEbu3XfuC5fbYdb6A zL5kIlS6yKX5E4Bldoe-V424Mbk6JehrCaJ7-HEL8kYH21aZt DAI7RX4BEF cRtjTVYf8I0PcJAZMIn iCum0D0sI1MsMCYpnUHHe0J-WpGnDGo509mszZlIZYfAzoQfdVPpCRVhc6WUvkGnI5Eeyl6 NjJ4mEjvCAOXETEcNtl1ktGKRtMK 5pDe96SsPTTg3JQBg8YtgqvZlQJKlQ__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA
```
@article{puchala2012restricted,
  title = {Restricted numerical shadow and geometry of quantum entanglement},
  author = {Puchała, Z. and Miszczak, J.A. and Gawron, P. and Dunkl, C.F. and Holbrook, J.A. and Życzkowski, K.},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  volume = {45},
  number = {41},
  pages = {415309},
  year = {2012},
  url = {https://d1wqtxts1xzle7.cloudfront.net/40538136/Restricted_numerical_shadow_and_geometry20151201-28343-1tqkl28.pdf?1448978875=&response-content-disposition=inline%3B+filename%3DRestricted_numerical_shadow_and_the_geom.pdf&Expires=1592565216&Signature=Hejde5pW2ID8kfVbbr4wAHu9SsM221OAQUiQ21j6SW-rMFjUCgWyXtlxji-gowYWowFcbjFHF4XMCc3ieuGOozuW9PiuPtPvd~W7pK6tfWiTywFcNEbu3XfuC5fbYdb6A~zL5kIlS6yKX5E4Bldoe-V424Mbk6JehrCaJ7-HEL8kYH21aZt~DAI7RX4BEF~cRtjTVYf8I0PcJAZMIn~iCum0D0sI1MsMCYpnUHHe0J-WpGnDGo509mszZlIZYfAzoQfdVPpCRVhc6WUvkGnI5Eeyl6~NjJ4mEjvCAOXETEcNtl1ktGKRtMK~5pDe96SsPTTg3JQBg8YtgqvZlQJKlQ__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA}
}
```

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}