Singular Value Inequalities for Concave and Convex Functions of Matrix Sums and Products
Ahmad AL Natoor, Fadi Alrimawi
Abstract
In this paper, we present several singular value inequalities for special types of functions of products and sums of matrices. Some of special cases of our results give a generalization of some recent inequalities
Topics & Concepts
MathematicsConcave functionSingular valueMatrix (chemical analysis)Regular polygonInequalityValue (mathematics)Pure mathematicsCombinatoricsMathematical analysisStatisticsGeometryEigenvalues and eigenvectorsPhysicsComposite materialMaterials scienceQuantum mechanicsMatrix Theory and AlgorithmsMathematical Inequalities and ApplicationsMathematics and Applications