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