A continuous-time model and simulative verifications of Zhang-gradient type Zhang reciprocal for time-varying numbers

Static reciprocal solving has been studied for many years. In this paper, we focus on time-varying reciprocal (termed Zhang reciprocal) solving, i.e., we regard the reciprocal solving problem as a time-varying process. As both Zhang dynamics and gradient dynamics have been proven as powerful tools for time-varying problems solving, we propose a novel continuous-time Zhang-gradient (ZG) type Zhang reciprocal (ZR) model for time-varying reciprocal solving. Through computer simulations, we further verify the effectiveness of the continuous-time ZG-type ZR model.