Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 52, 2004 - Issue 3-4: Special Issue on the Numerical Range and Numerical Radius Guest Editors: C. K. Li & T. Y. Tam
Submit an article Journal homepage
360
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

On Matrices with Elliptical Numerical Ranges

Ethan S. Brown * Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
&
Ilya M. Spitkovsky Department of Mathematics, College of William and Mary, Williamsburg, VA 23187, USA
Pages 177-193 | Received 11 Dec 2002, Published online: 31 Aug 2006

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

N. Bebiano, R. Lemos & G. Soares. (2023) On the hyperbolicity of the Krein space numerical range. Linear and Multilinear Algebra 0:0, pages 1-21.
Read now
Titas Geryba & Ilya M. Spitkovsky. (2021) On the numerical range of some block matrices with scalar diagonal blocks. Linear and Multilinear Algebra 69:5, pages 772-785.
Read now

Articles from other publishers (18)

Albrecht Böttcher & Ilya M. Spitkovsky. (2023) Core invertibility of operators from the algebra generated by two orthogonal projections. Acta Scientiarum Mathematicarum 89:1-2, pages 257-268.
Crossref
Rahmatollah Lashkaripour, Mojtaba Bakherad & Monire Hajmohamadi. (2023) Normal Shape and Numerical Range of a Real 2-Toeplitz Tridiagonal Matrix. Bulletin of the Malaysian Mathematical Sciences Society 46:3.
Crossref
Markus Hunziker, Andrei Martínez-Finkelshtein, Taylor Poe & Brian Simanek. (2022) Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials. Journal of Mathematical Analysis and Applications 511:1, pages 126049.
Crossref
Natália Bebiano, Joáo da Providéncia & Ilya M. Spitkovsky. (2021) On Kippenhahn curves and higher-rank numerical ranges of some matrices. Linear Algebra and its Applications 629, pages 246-257.
Crossref
Luís Carvalho, Cristina Diogo & Sérgio Mendes. (2019) A bridge between quaternionic and complex numerical ranges. Linear Algebra and its Applications 581, pages 496-504.
Crossref
Natália Bebiano & Susana Furtado. (2019) A reducing approach for symmetrically sparse banded and anti-banded matrices. Linear Algebra and its Applications 581, pages 36-50.
Crossref
Kristin A. Camenga, Louis Deaett, Patrick X. Rault, Tsvetanka Sendova, Ilya M. Spitkovsky & Rebekah B. Johnson Yates. (2019) Singularities of base polynomials and Gau–Wu numbers. Linear Algebra and its Applications 581, pages 112-127.
Crossref
Natália Bebiano & Susana Furtado. (2019) Nearness results for real tridiagonal 2‐Toeplitz matrices. Numerical Linear Algebra with Applications 26:5.
Crossref
Maria Adam, Aikaterini Aretaki & Ilya M. Spitkovsky. (2018) Elliptical higher rank numerical range of some Toeplitz matrices. Linear Algebra and its Applications 549, pages 256-275.
Crossref
Christer Glader, Mikael Kurula & Mikael Lindström. (2018) Crouzeix's Conjecture Holds for Tridiagonal 3 x 3 Matrices with Elliptic Numerical Range Centered at an Eigenvalue. SIAM Journal on Matrix Analysis and Applications 39:1, pages 346-364.
Crossref
Ulrich Daepp, Pamela Gorkin, Andrew Shaffer & Karl Voss. (2017) Möbius transformations and Blaschke products: The geometric connection. Linear Algebra and its Applications 516, pages 186-211.
Crossref
Charles R. Johnson, Ilya M. Spitkovsky, Mirjana Stevanovic & Morrison Turnansky. (2016) Normal matrices subordinate to a tree and flat portions of the field of values. Linear Algebra and its Applications 507, pages 198-207.
Crossref
Ruey Ting Chien & Ilya M. Spitkovsky. (2015) On the numerical ranges of some tridiagonal matrices. Linear Algebra and its Applications 470, pages 228-240.
Crossref
N. Bebiano, J. da Providência & A. Nata. (2013) The numerical range of banded biperiodic Toeplitz operators. Journal of Mathematical Analysis and Applications 398:1, pages 189-197.
Crossref
Mao-Ting Chien & Kuo-Chih Hung. (2012) ELLIPTIC NUMERICAL RANGES OF BORDERED MATRICES. Taiwanese Journal of Mathematics 16:3.
Crossref
N. Bebiano, R. Lemos, J. da Providência & G. Soares. (2005) On the geometry of numerical ranges in spaces with an indefinite inner product. Linear Algebra and its Applications 399, pages 17-34.
Crossref
Ethan S. Brown & Ilya M. Spitkovsky. (2004) On flat portions on the boundary of the numerical range. Linear Algebra and its Applications 390, pages 75-109.
Crossref
N. Bebiano, R. Lemos & J. da Providência. (2004) Numerical ranges of unbounded operators arising in quantum physics. Linear Algebra and its Applications 381, pages 259-279.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.