2021/03/28 by Bar-Shalom, Eyal, Margaliot, Michael
#FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2103.15097
The multiplicative and additive compounds of a matrix play an important role in several fields of mathematics including geometry, multi-linear algebra, combinatorics, and the analysis of nonlinear time-varying dynamical systems. There is a growing interest in applications of these compounds, and their generalizations, in systems and control theory. This tutorial paper provides a gentle introduction to these topics with an emphasis on the geometric interpretation of the compounds, and surveys some of their recent applications.