Multiresponse Estimation With Special Application to Linear Systems of Differential Equations

Article

Bates, Douglas M.; Watts, Donald G.   (1985, ASQC and the American Statistical Association)   University of Wisconsin, Madison, WI; Queen's University, Canada

Technometrics    Vol. 27    No. 4
QICID: 9219    November 1985    pp. 329-339
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Article Abstract

Editor's Note: this article and the discussions were presented at the Technometrics session of the Annual Meeting of the American Statistical Association in Las Vegas, Nevada, August 5-8, 1985.We present a multiresponse estimation procedure for parameters of systems described by s = 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 efficient computational procedures for handling linear constraints on the responses.

Keywords

Gradient,Hessian,Convergence


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