ON SOME MATRIX INEQUALITIES
Hyun Deok Lee
Abstract
In this paper, we show the convergence of matrix series and the conditions for their convergence by finding an upper bound for some specific matrix inequalities.Finally, we introduce a new form of arithmetic-geometric matrix series and analyze their convergence.
Topics & Concepts
MathematicsTRACE (psycholinguistics)Positive-definite matrixMatrix (chemical analysis)Pure mathematicsInequalityOrder (exchange)Algebra over a fieldMathematical analysisEigenvalues and eigenvectorsMaterials scienceComposite materialFinancePhilosophyQuantum mechanicsPhysicsLinguisticsEconomicsMatrix Theory and AlgorithmsSpectral Theory in Mathematical PhysicsMathematical Inequalities and Applications