Inverse matrix evaluation for linear systems (Q2720383)

The authors study the following inverse problem arising in formal chemical kinetics: For a given reaction is it possible to recover the reaction rate constants from the available laboratory data? When the chemical reaction is monomolecular then the induced kinetic differential equation is linear and time invariant. In this case, the authors give an iterative method to recover the matrix of the rate constants, based on the vector of species concentration. The convergence of the method is studied and error estimates are given. The paper ends with four concrete examples. These numerical experiments show that the algorithm requires only a few iterations even if the given data are noisy.