A complement of the Hadamard-Fischer inequality

Issue title: Special Section: Iteration, Dynamics and Nonlinearity

Guest editors: Manuel Fernández-Martínez and Juan L.G. Guirao

Article type: Research Article

Authors: Dong, Sheng^{; *} | Hou, Lei

Affiliations: Department of Mathematics, Shanghai University, Baoshan, Shanghai, China

Correspondence: [*] Corresponding author. Sheng Dong, Department of Mathematics, Shanghai University, 99 Shangda Road, Baoshan District, Shanghai, China. E-mail: dongsheng7088@163.com.

Abstract: In this paper, we first give a new proof and a complement of the Hadamard-Fischer inequality, then present some results related to positive definite 3 × 3 block matrix and matrices whose numerical ranges are contained in a sector.

Keywords: Determinant inequality, the Hadamard-Fischer inequality, positive definite 3 × 3 block matrix, numerical range

DOI: 10.3233/JIFS-169723

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4011-4015, 2018