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Singularities of base polynomials and Gau–Wu numbers

  • Published:2019-11 Issue: Volume:581 Page:112-127
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Camenga Kristin A.,Deaett Louis,Rault Patrick X.,Sendova Tsvetanka,Spitkovsky Ilya M.,Yates Rebekah B. Johnson

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference14 articles.

1. On matrices with elliptical numerical ranges;Brown;Linear Multilinear Algebra,2004

2. On the Gau–Wu number for some classes of matrices;Camenga;Linear Algebra Appl.,2014

3. Singular points of the ternary polynomials associated with 4-by-4 matrices;Chien;Electron. J. Linear Algebra,2012

4. Numerical ranges and compressions of Sn-matrices;Gau;Oper. Matrices,2013

5. The possible shapes of numerical ranges;Helton;Oper. Matrices,2012

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Determinantal polynomials and the base polynomial of a square matrix over a finite field;Arab Journal of Mathematical Sciences;2023-04-05

2. The Gau–Wu number for 4 × 4 and select arrowhead matrices;Linear Algebra and its Applications;2022-07

3. On the geometry of numerical ranges over finite fields;Linear Algebra and its Applications;2021-11

4. Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States;SIAM Journal on Applied Algebra and Geometry;2021-01

5. Kippenhahn curves of some tridiagonal matrices;Filomat;2021
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