Matricial Proofs of Some Classical Results about Critical Point Location
DOI10.1080/00029890.2020.1671740zbMath1429.26024arXiv2012.12708OpenAlexW3114700067WikidataQ113853676 ScholiaQ113853676MaRDI QIDQ5207476
Charles R. Johnson, Pietro Paparella
Publication date: 2 January 2020
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12708
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)
Cites Work
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- On the numerical range of a bounded operator
- Differentiators and the geometry of polynomials.
- On the realizability of the critical points of a realizable List
- Spectrally Perron polynomials and the Cauchy-Ostrovsky theorem
- A Simple Direct Proof of Marden's Theorem
- Triangles, Ellipses, and Cubic Polynomials
- Four Theorems with Their Foci on Ellipses
- Perron-Frobenius Theory and the Zeros of Polynomials
- An Elementary Proof of Marden's Theorem
- Computation of the field of values of a 2 x 2 matrix
- On the Field of Values of a Square Matrix
- A Geometric Proof of the Siebeck–Marden Theorem
- A simple proof of the elliptical range theorem
- On the numerical range of a matrix
- A Generalization of a Theorem of Bôcher
- A note on the zeros of the sections of a partial fraction
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