Archiv der Mathematik, ( ISI ), Volume (115), No (6), Year (2020-12) , Pages (667-677)

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
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@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},
}

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%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

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