Research on function optimization problem based on Newtons method

Abstract

Optimization is important because it helps improve efficiency, reduce waste, and achieve better outcomes in various fields such as business, engineering, and science. It enables organizations and individuals to make the most of their resources and capabilities, ultimately leading to increased productivity, cost savings, and better overall performance. The main focus of this paper is on studying how to optimize results when solving mathematical problems. We use optimization in mathematical problems to achieve the best possible solution or outcome by efficiently utilizing available resources and constraints. This helps us make informed decisions, save time, and find solutions that are both effective and efficient. The main focus of this article is to explore what Newton's method is, its fundamental principles, and its practical applications in solving mathematical problems. It delves into how Newton's method can be employed to achieve optimization within mathematical problem-solving contexts. The article discovers that utilizing Newton's method to solve mathematical problems for computational optimization is a favorable choice.