Generating curves of the inverse \(q\)-numerical ranges of 2-by-2 matrices

DOI10.1007/s00013-020-01510-yzbMath1461.14042OpenAlexW3048898546MaRDI QIDQ2216788

Mohammad Sal Moslehian, Hiroshi Nakazato, Mao-Ting Chien, Ali Zamani

Publication date: 17 December 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01510-y

zbMATH Keywords

singular pointquartic curveDavis-Wielandt shellinverse \((q)\)-numerical range

Mathematics Subject Classification ID

Plane and space curves (14H50) Inverse problems in linear algebra (15A29) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

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• The constrained bilinear form and the C-numerical range
• The inverse \(q\)-numerical range problem and connections to the Davis-Wielandt shell and the pseudospectra of a matrix
• Revisiting the inverse field of values problem
• Singular points of the ternary polynomials associated with 4-by-4 matrices
• An inverse field of values problem
• Some Results on the q-Numerical
• Davis-Wielandt shell and \(q\)-numerical range

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