Fitting Criteria in Boundary Value Problems.
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Consider the following problem dydx Ly f which represents N first order ordinary differential equations. Suppose y the summation from k1 to n1 of a sub kp sup k is a solution to the original ODE, where the a sub ks are the superposition constants and the p sup ks are particular solutions of 1. The solution of the problem becomes one of finding the a sub ks. Determining the a sub ks entails solving an overdetermined set of linear equations with the a sub ks as the unknowns. Two methods are presented for solving the overdetermined set of equations and each is evaluated according to specified criteria.
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