Research on Algorithm Analysis Model of Digital Trade's Influence on Economic Growth in Cloud Computing Environment

This paper aims to explore the influence of digital trade on economic growth in cloud computing environment, and constructs an algorithm analysis model. Based on economic growth theory, international trade theory and information technology economic effect theory, this study selects key variables such as digital trade volume, cloud computing usage, labor productivity, R&D investment as a proportion of GDP and trade openness, and makes an empirical analysis by using multiple linear regression models. By collecting macroeconomic and international trade data from 2000 to 2023, the model is tested by descriptive statistics, stationarity test and cointegration test, which ensures the accuracy of the data and the applicability of the model. Regression analysis shows that digital trade volume, cloud computing usage, labor productivity, $R \& D$ investment as a percentage of GDP and trade openness all have significant positive effects on economic growth rate. In particular, investment in cloud computing and R&D plays a particularly significant role in promoting economic growth. The research results show that cloud computing enhances the role of digital trade in promoting economic growth by improving transaction efficiency, reducing transaction costs and promoting innovation. Based on this, this paper puts forward the corresponding measures that policy makers, enterprise decision makers and academic circles should take to promote the development of digital trade and cloud computing industry, and then promote economic growth. At the same time, this paper also points out the limitations of the research and puts forward some suggestions for future research.