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A Parameter Perturbation Technique Applied To Multipoint Iteration Functions For The Solution Of Systems Of Nonlinear Equations, Robert N. Delozier Jan 1965

A Parameter Perturbation Technique Applied To Multipoint Iteration Functions For The Solution Of Systems Of Nonlinear Equations, Robert N. Delozier

Masters Theses

"The convergence of classical iterative procedures, when applied to a system of nonlinear algebraic or transcendental equations, is highly dependent upon a good initial approximation to the desired roots. Most of the classical iterative schemes have convergence factors between one and two. In this paper iterative schemes of order two and greater are studied in connection with a parameter perturbation process. The parameter perturbation process relaxes the restrictions on the choice of initial values. The procedure divides each problem into a number of subsidiary problems. Each subsidiary system of equations is then solved until a solution is found to the …


Near Optimal Sequencing :N Jobs And M Machines; All Jobs To Be Processed Through The Same Order Of Machines, Larry Glen Clark Jan 1965

Near Optimal Sequencing :N Jobs And M Machines; All Jobs To Be Processed Through The Same Order Of Machines, Larry Glen Clark

Masters Theses

"There is a need, in industry, for an efficient method of determining an optimal sequence for processing a number of jobs through two or more machines. A method which requires a minimum amount of time would be most beneficial. The purpose of this study has been to define such a method. Tests on the method described indicate that although an optimal solution is not always obtained, the solutions obtained are quite good and due to the time factor the method would be beneficial to industry"--Abstract, page ii.