The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matricesReport as inadecuate




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Journal of Inequalities and Applications

, 2014:479

First Online: 02 December 2014Received: 15 May 2014Accepted: 18 November 2014

Abstract

Without ‘positive definiteness’ demanded in the present papers, the forward and reverse inequalities for Hadamard products of any number of invertible Hermitian matrices are obtained, and the sufficient and necessary conditions for the equations in these inequalities are given. As Hermitian positive matrices naturally satisfy the added constraints, these results generalize and improve the corresponding results in the present papers. Beyond that, with no demand of ‘positive definiteness’, these forward and backward inequalities are not determined mutually any longer.

KeywordsHermitian matrix Hadamard product matrix inequality equation condition  Download fulltext PDF



Author: Meixiang Chen - Qinghua Chen - Zhongpeng Yang - Xiaoxia Feng - Zhixing Lin

Source: https://link.springer.com/







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