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Some inequalities for sums of nonnegative definite matrices in quaternions

Abstract

Some matrix versions of the Cauchy-Schwarz and Frucht-Kantorovich inequalities are established over the quaternionic algebra. As applications, a group of inequalities for sums of Hermitian nonnegative definite matrices over the quaternionic algebra are derived.

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Correspondence to Yongge Tian.

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Tian, Y., Styan, G.P. Some inequalities for sums of nonnegative definite matrices in quaternions. J Inequal Appl 2005, 385246 (2005). https://doi.org/10.1155/JIA.2005.449

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  • DOI: https://doi.org/10.1155/JIA.2005.449