A Gersgorin Type Theorem Spectral Inequalities And Simultaneous Stability In Euclidean Jordan Algebras
Gersgorin TheoremSpectral InequalitiesSimultaneous StabilityEuclidean Jordan AlgebrasJordan Algebras
This paper introduces a Gersgorin-type theorem, specifically tailored for application within Euclidean Jordan algebras. It delves into the derivation of new spectral inequalities, crucial for understanding the bounds and properties of elements in these algebraic structures. Furthermore, the research investigates the conditions necessary for achieving simultaneous stability, offering valuable insights into the dynamic behavior and robust control aspects pertinent to Euclidean Jordan algebras.