536	 Nonlinear Regression and the Solution of Simultaneous Equations	 If one has a set of observables Z ... Zm which are bound in a relation with certain parameters A ... An by an equation S Z ... A ... one frequently has the problem of determining a set of values of the Ai which minimizes the sum of squares of differences between observed and calculated values of a distinguished observable say Zm. If the solution of the above equation for Zm Zm N Z ... A ... gives rise to a function N which is nonlinear in the Ai then one may rely on a version of Gaussian regression for an iteration scheme that converges to a minimizing set of values. It is shown here that this same minimization technique may be used for the solution of simultaneous not necessarily linear equations.
