Dynamical methods for polar decomposition and inversion of matrices (Q1359197)

Given an inverse problem \(F(\Theta,t)=0\), dynamic inversion specifies how one can construct a system of nonlinear differential equations whose solution \(\Theta(t)\) converges asymptotically to a continuous isolated solution \(\Theta_*(t)\) of the inverse problem. The authors show how dynamic inversion may be used to perform polar decomposition and inversion of a time-varying matrix. They also show how these results may be applied to constant matrices.