Doctoral Dissertations

Abstract

"The blocked orthogonalization algorithm for nonlinear regression developed in this work results from a study of matching problems having certain identifiable characteristics with algorithms which exploit those characteristics. The new algorithm represents an extension of an earlier algorithm by D. S. Grey using a blocked orthogonalization technique proposed by R. E. von Holdt. The result is a generalization of the Grey and the Gauss-Hartley algorithms which maintains the desirable properties of these algorithms while avoiding their more serious limitations. The new algorithm was found to be quite effective for solving problems in which the parameters in the model under consideration were "naturally" grouped.

Numerous criteria for evaluating algorithm performance are used to compare results of the new algorithm with those of the Davidon-Fletcher-Powell, Levenberg-Marquardt, Gauss Hartley, and Grey algorithms. Acceleration of the new algorithm using Cornwell's Linear Acceleration Technique is also studied. Zangwill's convergence theory establishes validity of the new algorithm for the nonquadratic case while numerical examples exhibit its robustness"-- Abstract, p. ii

Advisor(s)

Rigler, A. K.

Committee Member(s)

Pyron, Howard D.
Wiebe, Henry Allen
Plummer, O. R.
Engelhardt, Max
Gillett, Billy E.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1975

Pagination

viii, 164 pages

Note about bibliography

Includes bibliographical references (pages 126-132)

Rights

© 1975 Daniel C. St. Clair, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 3062

Print OCLC #

6013579

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Included in

Mathematics Commons

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