Date of Award

2-1973

Degree Type

Thesis

Degree Name

Doctor of Philosophy (PhD)

Department

Biology

Supervisor

J.W. Bandler

Abstract

The purpose of this thesis is to present a unified treatment of nonlinear least pth and nonlinear minimax approximation problems, and a new method for nonlinear programming. Least pth approximation with values of p in the range 1,000 to 1,000,000 in conjunction with the Fletcher-Powell and Fletcher algorithms have been successfully applied to a variety of network and system optimization problems. A comparison is made between two new ~lgorithrns for nonlinear minimax approximation and some of the existing ones. Also, the new approach to nonlinear programming is compared with the well-known SUMT. A critical review of unconstrained optimization is also included.

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Biology Commons

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