A New Algorithm to Fit Exponential Decays

Abstract

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 bymeans of exponentials having the form$f(t)=\lambda_1\exp(kt)+\lambda_2$. 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.