An extension of the Fiedler-Markham determinant inequality

Abstract

We extend a determinant inequality of Fiedler and Markham [On a theorem of Everitt, Thompson, and de Pillis, Math Slovaca, 44 (1994), 441–444] to the class of matrices whose numerical range is contained in a sector. Moreover, some related results are also included.

Keywords:

• Determinant inequality
• sector matrix

AMS Subject Classifications:

• 15A45
• 15A42

Acknowledgements

The author is grateful to the referee for numerous suggestions which improve the presentation.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The work was supported by National Natural Science Foundation of China [grant number 11601314].