Analysis of a mechanical solver for linear systems of equations (Q2708323)

A new approach to solve systems of linear equations, equivalent to solve the motion of a damped harmonic oscillator, has been proposed in a previous paper by the first author. This approach is called mechanical solver for systems of linear equations. The present study is devoted to the analysis of this approach. An interesting result is that the authors a priori can give an estimation of the number of iterations to get a given accuracy.