## Differential Correction Schemes in Nonlinear Regression, Volume 2119 |

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A+A)y Abstract This paper accomplished by discussion algorithm Ax-z classical and modified classical iterative methods coefficient matrix computational correction A0 Davidon Method MDM Decell denote DIFFERENTIAL CORRECTION SCHEMES Equation A Ax Euclidean norm Examples having inherent Exponential Model F. M. Speed full rank Gauss-Newton method geometrical and theoretical given in Table Houston improves upon classical infinitely many solutions inherent pitfalls introducing modifications least one solution least-squares matrix inversion methods in nonlinear minimum norm correction modifications appearing Modified Davidon Method modified techniques motivation for introducing nearly singular nonlinear regression nonsingular obtained using classical orthogonal paper briefly reviews Partials Iteration MN Performing Organization PR(X presented and compared projection operator proof of Corollary range space requires the solution residual sum reviews and improves SCHEMES IN NONLINEAR Security Classif significance of Corollary Singular Partials Iteration solutions are given sum of squares T T The Equation terms of results Theorem theoretical motivation vector