ABSTRACT

This work presents two iterative algorithms for computing numerical solutions of nonlinear equations. Our research findings demonstrate that these methods possess convergence orders of six and ten. Additionally, our analysis shows that these techniques have higher efficiency indexes compared to certain recent methods. We also include numerical examples to evaluate the performance of the proposed approaches and validate their theoretical convergence orders.

Keywords: Nonlinear equation; Iterative method; Convergence order.

ABSTRACT

The aim of the current research is to identify and analyze the impact of the relationship between adopting strategic entrepreneurial orientations in their dimensions of innovation, seizing opportunities, and bold decision-making, and developing production processes in their dimensions of improving operational efficiency, raising product quality, reducing waste, and increasing productivity. It is also to evaluate the extent to which this relationship contributes to raising the efficiency of production performance at Kronje Company. The descriptive analytical approach was used to collect and analyze data using a primary data collection tool, the questionnaire. The research relied on the opinions of a sample of employees at Kronje Company, and relied on a sample of (125) workers to measure the phenomenon under study. Accordingly, the questionnaire was distributed to them, and (125) questionnaires were retrieved, all of which were valid for analysis Statistical,The data and hypotheses adopted in the research were analyzed using appropriate statistical methods, including the SPSS V26 statistical analysis program. The research reached several results, the most important of which are: There is a statistically significant effect of the combined strategic entrepreneurial orientations with their dimensions on the development of production processes in all their dimensions in the researched company. The most important recommendations are: The researched company in particular, and similar companies in general, should adopt strategic entrepreneurial orientations in its field of work to develop production efficiency, improve product quality, and reduce costs in order to be able to compete with other companies operating in the same sector.

Keywords: Strategic  Entrepreneurial Orientations, Development of Production Processes.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).