M.Sc. Tezi Görüntüleme | |||||||||||||||||||||
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Summary: The conventional Newton and Secant methods for determining zeros of single variable functions are generalized to determine all the real zeros on a given interval using vector based algorithms. Steepest descent methods is used to determine all the real solutions of a nonlinear system with two unknowns in a given rectangular region. Furthermore, Dichotomous and Steepest descent methods are extended to determine all the extrema of a single variable function on a given interval. Key Words: Vector-based Newton method, Vector- based secant method, Vector-based Dichotomous method, Vector-based steepest descent method.
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