Symmetry of cyclic weighted shift matrices with pivot-reversible weights | The Electronic Journal of Linear Algebra

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Published: Jan 20, 2020

DOI: https://doi.org/10.13001/ela.2020.5041

Keywords:

Cyclic weighted shift, pivot-reversible weights, symmetric matrices, numerical range

Mao-Ting Chien

Soochow University, Taiwan

Hiroshi Nakazato

Hirosaki University

Abstract

It is proved that every cyclic weighted shift matrix with pivot-reversible weights is unitarily similar to a complex symmetric matrix.

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