M.Sc. Tezi Görüntüleme

Student: Murat Memoğlu
Supervisor: Prof. Dr. Erhan Coşkun
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Vektor Based Algorithms For Determining Zeros and Extrema Point
Level: M.Sc.
Acceptance Date: 18/6/2012
Number of Pages: 42
Registration Number: i2516
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.