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Central force and the higher rank numerical range

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Publication:663727
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DOI10.1016/j.jmaa.2011.12.009zbMath1238.70007OpenAlexW2068758139MaRDI QIDQ663727

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.009


zbMATH Keywords

Toeplitz matrixalgebraic curve


Mathematics Subject Classification ID

Celestial mechanics (70F15)


Related Items (4)

A new Poncelet curve for the boundary generating curve of a numerical range ⋮ Determinantal representations of closed orbits ⋮ Critical values for higher rank numerical ranges associated with roulette curves ⋮ Numerical range of a nilpotent matrix and related central force



Cites Work

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  • Numerical range for orbits under a central force
  • Critical values for higher rank numerical ranges associated with roulette curves
  • The boundary of higher rank numerical ranges
  • Higher-rank numerical ranges and compression problems
  • Boundary generating curves of the \(c\)-numerical range
  • Open problems on the eve of the next millennium
  • A Treatise on the Analytical Dynamics of Particles and Rigid Bodies


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