[图书][B] Spectral properties of banded Toeplitz matrices
A Böttcher, SM Grudsky - 2005 - SIAM
Toeplitz matrices emerge in plenty of applications and have been extensively studied for
about a century. The literature on them is immense and ranges from thousands of articles in …
about a century. The literature on them is immense and ranges from thousands of articles in …
Topological winding guaranteed coherent orthogonal scattering
Coherent control has enabled various novel phenomena in wave scattering. We introduce
an effect called coherent orthogonal scattering, where the output wave becomes orthogonal …
an effect called coherent orthogonal scattering, where the output wave becomes orthogonal …
On Kippenhahn curves and higher-rank numerical ranges of some matrices
On Kippenhahn curves and higher-rank numerical ranges of some matrices - ScienceDirect
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Kippenhahn curves of some tridiagonal matrices
Kippenhahn curves of some tridiagonal matrices Page 1 arXiv:2011.00849v1 [math.FA] 2 Nov
2020 Kippenhahn curves of some tridiagonal matrices ⋆ Natália Bebianoa, Joáo da …
2020 Kippenhahn curves of some tridiagonal matrices ⋆ Natália Bebianoa, Joáo da …
[PDF][PDF] Notes on the numerical range
JH Shapiro - Notes, Michigan State University, USA, 2004 - joelshapiro.org
The inner product of a Hilbert space associates to each bounded linear operator thereon a
continuous complex-valued quadratic form which—thanks to the polarization identity …
continuous complex-valued quadratic form which—thanks to the polarization identity …
On flat portions on the boundary of the numerical range
ES Brown, IM Spitkovsky - Linear algebra and its applications, 2004 - Elsevier
The paper is devoted to matrices with flat portions on the boundary of their numerical range.
A constructive criterion for such portions to exist is obtained in case of tridiagonal matrices …
A constructive criterion for such portions to exist is obtained in case of tridiagonal matrices …
Crouzeix's Conjecture Holds for Tridiagonal 3 x 3 Matrices with Elliptic Numerical Range Centered at an Eigenvalue
C Glader, M Kurula, M Lindstrom - SIAM Journal on Matrix Analysis and …, 2018 - SIAM
Crouzeix stated the following conjecture in [Integral Equations Operator Theory, 48 (2004),
pp. 461-477]: For every nxn matrix A and every polynomial p,| p (A)| le 2 max_z in W (A)| p …
pp. 461-477]: For every nxn matrix A and every polynomial p,| p (A)| le 2 max_z in W (A)| p …
On the numerical range of some block matrices with scalar diagonal blocks
T Geryba, IM Spitkovsky - Linear and Multilinear Algebra, 2021 - Taylor & Francis
Full article: On the numerical range of some block matrices with scalar diagonal blocks Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials
M Hunziker, A Martínez-Finkelshtein, T Poe… - Journal of Mathematical …, 2022 - Elsevier
We study algebraic curves that are envelopes of families of polygons supported on the unit
circle T. We address, in particular, a characterization of such curves of minimal class and …
circle T. We address, in particular, a characterization of such curves of minimal class and …
[HTML][HTML] A bridge between quaternionic and complex numerical ranges
L Carvalho, C Diogo, S Mendes - Linear Algebra and its Applications, 2019 - Elsevier
We obtain a sufficient condition for the convexity of quaternionic numerical range for
complex matrices in terms of its complex numerical range. It is also shown that the Bild …
complex matrices in terms of its complex numerical range. It is also shown that the Bild …