OCNov 21, 2017
A New Algorithm to Fit Exponential DecaysJuan Antonio Fernández Torvisco, Mariano Rodríguez-Arias Fernández, Javier Cabello Sánchez
This paper deals with some nonlinear problems which exponential and biexponential decays are involved in. A proof of the quasiconvexity of the error function in some of these problems of optimization is presented. This proof is restricted to fitting observations by means of exponentials having the form $f (t) = λ_1 \exp(kt) + λ_2.$ Based on its quasiconvexity, we propose an algorithm to estimate the best approximation to each of these decays. Besides, this algorithm does not require an initial guess.