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Multiresponse Estimation With Special Application to Linear Systems of Differential Equations
Authors:Douglas M. Bates  Donald G. Watts
Affiliation:1. Department of Statistics , University of Wisconsin , Madison , WI , 53706;2. Department of Mathematics and Statistics , Queen's University , Kingston , Ontario , K7L 3N6 , Canada
Abstract:We present a multiresponse estimation procedure for parameters of systems described by ? = As. The procedure features a generalized Gauss–Newton algorithm for optimizing the determinant criterion, efficient evaluation of the expectation function and its derivatives directly from the reaction network or compartment diagram, automatic determination of starting values, and eficient computational procedures for handling linear constraints on the responses.
Keywords:Gradient  Hessian  Convergence
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