Existence of EMS Solutions and a Priori Estimates
Geoff A. Latham · SIAM Journal on Matrix Analysis and Applications · 1995
Solvability of the nonlinear EMS (estimate, maximize, smooth) equations in the nonnegative quadrant is established by the use of the Brouwer fixed point theorem and a priori estimates from Perron–Frobenius theory. Existence of solutions and of an a priori estimate are also proven for a generalization of the EMS equations. The a priori estimates illustrate the quantification shortcomings of the EMS algorithm and should be carefully considered both before applying the algorithm and in the choice of smoothing.