Title : ( Generating curves of the inverse q-numerical ranges of 2-by-2 matrices )
Authors: Mao-Ting Chien , Hiroshi Nakazato , Mohammad Sal Moslehian , Ali Zamani ,
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Abstract
We investigate the inverse q-numerical range of 2×2 matrices. A quartic curve is formulated that generates unit vectors for the inverse q-numerical range according to Tsing’s circle formula. Properties of this quartic curve are discussed and corresponding examples are described.
Keywords
, Inverse q, numerical range Quartic curve Singular point Davis–Wielandt shell
@article{paperid:1080742,
author = {Mao-Ting Chien and Hiroshi Nakazato and Sal Moslehian, Mohammad and Ali Zamani},
title = {Generating curves of the inverse q-numerical ranges of 2-by-2 matrices},
journal = {Archiv der Mathematik},
year = {2020},
volume = {115},
number = {6},
month = {December},
issn = {0003-889X},
pages = {667--677},
numpages = {10},
keywords = {Inverse q-numerical range
Quartic curve
Singular point
Davis–Wielandt shell},
}
%0 Journal Article
%T Generating curves of the inverse q-numerical ranges of 2-by-2 matrices
%A Mao-Ting Chien
%A Hiroshi Nakazato
%A Sal Moslehian, Mohammad
%A Ali Zamani
%J Archiv der Mathematik
%@ 0003-889X
%D 2020
