Singular values inequalities for matrix means
Mohammad Sababheh, Shigeru Furuichi, Shiva Sheybani, Hamid Reza Moradi
Abstract
In this article, we show multiple inequalities for the singular values of the difference of matrix means. The obtained results refine and complement some well established results in the literature. Although we target singular values inequalities, we will show several matrix means inequalities, as well.
Topics & Concepts
MathematicsInequalityMatrix (chemical analysis)Singular valuePure mathematicsMathematical economicsAlgebra over a fieldMathematical analysisEigenvalues and eigenvectorsPhysicsMaterials scienceQuantum mechanicsComposite materialMathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsFunctional Equations Stability Results